10520655600 has 360 divisors, whose sum is σ = 41711889792. Its totient is φ = 2219443200.

The previous prime is 10520655577. The next prime is 10520655667. The reversal of 10520655600 is 655602501.

10520655600 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 2×10520655600² (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 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 71 ways as a sum of consecutive naturals, for example, 1415895 + ... + 1423305.

Almost surely, 2^10520655600 is an apocalyptic number.

10520655600 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 10520655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855944896).

10520655600 is an abundant number, since it is smaller than the sum of its proper divisors (31191234192).

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

10520655600 is a wasteful number, since it uses less digits than its factorization.

10520655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10520655600 in words is "ten billion, five hundred twenty million, six hundred fifty-five thousand, six hundred".