10412521056 has 768 divisors, whose sum is σ = 39223296000. Its totient is φ = 2620200960.

The previous prime is 10412521039. The next prime is 10412521069. The reversal of 10412521056 is 65012521401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131804025 + ... + 131804103.

It is an arithmetic number, because the mean of its divisors is an integer number (51072000).

Almost surely, 2^10412521056 is an apocalyptic number.

10412521056 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 10412521056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648000).

10412521056 is an abundant number, since it is smaller than the sum of its proper divisors (28810774944).

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

10412521056 is a wasteful number, since it uses less digits than its factorization.

10412521056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10412521056 in words is "ten billion, four hundred twelve million, five hundred twenty-one thousand, fifty-six".