10256646400 has 432 divisors, whose sum is σ = 34107067008. Its totient is φ = 2949120000.

The previous prime is 10256646371. The next prime is 10256646437. The reversal of 10256646400 is 464665201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6405600 + ... + 6407200.

It is an arithmetic number, because the mean of its divisors is an integer number (78951544).

Almost surely, 2^10256646400 is an apocalyptic number.

10256646400 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 10256646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053533504).

10256646400 is an abundant number, since it is smaller than the sum of its proper divisors (23850420608).

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

10256646400 is a wasteful number, since it uses less digits than its factorization.

10256646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

It can be divided in two parts, 10256 and 646400, that added together give a palindrome (656656).

The spelling of 10256646400 in words is "ten billion, two hundred fifty-six million, six hundred forty-six thousand, four hundred".