10520613840 has 160 divisors (see below), whose sum is σ = 36726792192. Its totient is φ = 2468160000.

The previous prime is 10520613787. The next prime is 10520613853. The reversal of 10520613840 is 4831602501.

10520613840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10520613840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10520613798 and 10520613807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17565 + ... + 146115.

Almost surely, 2^10520613840 is an apocalyptic number.

10520613840 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 10520613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363396096).

10520613840 is an abundant number, since it is smaller than the sum of its proper divisors (26206178352).

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

10520613840 is a wasteful number, since it uses less digits than its factorization.

10520613840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128609 (or 128603 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10520613840 in words is "ten billion, five hundred twenty million, six hundred thirteen thousand, eight hundred forty".