10526620427280 has 400 divisors, whose sum is σ = 38451995771904. Its totient is φ = 2665288903680.

The previous prime is 10526620427263. The next prime is 10526620427357. The reversal of 10526620427280 is 8272402662501.

10526620427280 is a `hidden beast` number, since 1 + 0 + 526 + 6 + 2 + 0 + 42 + 7 + 2 + 80 = 666.

It is a super-2 number, since 2×10526620427280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 10152277 + ... + 11141003.

Almost surely, 2^{10526620427280} is an apocalyptic number.

10526620427280 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 10526620427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19225997885952).

10526620427280 is an abundant number, since it is smaller than the sum of its proper divisors (27925375344624).

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

10526620427280 is a wasteful number, since it uses less digits than its factorization.

10526620427280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988836 (or 988821 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10526620427280 in words is "ten trillion, five hundred twenty-six billion, six hundred twenty million, four hundred twenty-seven thousand, two hundred eighty".