10624469856 has 864 divisors, whose sum is σ = 41516939520. Its totient is φ = 2308331520.

The previous prime is 10624469819. The next prime is 10624469873. The reversal of 10624469856 is 65896442601.

It is a super-2 number, since 2×10624469856² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10624469799 and 10624469808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461933461 + ... + 461933483.

Almost surely, 2^10624469856 is an apocalyptic number.

10624469856 is a gapful number since it is divisible by the number (16) 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 10624469856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20758469760).

10624469856 is an abundant number, since it is smaller than the sum of its proper divisors (30892469664).

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

10624469856 is a wasteful number, since it uses less digits than its factorization.

10624469856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 10624469856 in words is "ten billion, six hundred twenty-four million, four hundred sixty-nine thousand, eight hundred fifty-six".