10520630065440 has 576 divisors, whose sum is σ = 40242956906880. Its totient is φ = 2480352952320.

The previous prime is 10520630065427. The next prime is 10520630065453. The reversal of 10520630065440 is 4456003602501.

10520630065440 is a `hidden beast` number, since 1 + 0 + 5 + 206 + 3 + 0 + 0 + 6 + 5 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10520630065427) and next prime (10520630065453).

It is a super-2 number, since 2×10520630065440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10520630065395 and 10520630065404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2425782952 + ... + 2425787288.

It is an arithmetic number, because the mean of its divisors is an integer number (69866244630).

Almost surely, 2^{10520630065440} is an apocalyptic number.

10520630065440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10520630065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121478453440).

10520630065440 is an abundant number, since it is smaller than the sum of its proper divisors (29722326841440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10520630065440 is a wasteful number, since it uses less digits than its factorization.

10520630065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10520630065440 its reverse (4456003602501), we get a palindrome (14976633667941).

The spelling of 10520630065440 in words is "ten trillion, five hundred twenty billion, six hundred thirty million, sixty-five thousand, four hundred forty".