10256315520 has 512 divisors, whose sum is σ = 38247552000. Its totient is φ = 2311372800.

The previous prime is 10256315491. The next prime is 10256315533. The reversal of 10256315520 is 2551365201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24477871 + ... + 24478289.

It is an arithmetic number, because the mean of its divisors is an integer number (74702250).

Almost surely, 2^10256315520 is an apocalyptic number.

10256315520 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 10256315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

10256315520 is an abundant number, since it is smaller than the sum of its proper divisors (27991236480).

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

10256315520 is a wasteful number, since it uses less digits than its factorization.

10256315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

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

The spelling of 10256315520 in words is "ten billion, two hundred fifty-six million, three hundred fifteen thousand, five hundred twenty".