10256716800 has 1056 divisors, whose sum is σ = 43861478400. Its totient is φ = 2322432000.

The previous prime is 10256716759. The next prime is 10256716843. The reversal of 10256716800 is 861765201.

10256716800 is a `hidden beast` number, since 1 + 0 + 2 + 567 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144460765 + ... + 144460835.

Almost surely, 2^10256716800 is an apocalyptic number.

10256716800 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 10256716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930739200).

10256716800 is an abundant number, since it is smaller than the sum of its proper divisors (33604761600).

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

10256716800 is a wasteful number, since it uses less digits than its factorization.

10256716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10256716800 in words is "ten billion, two hundred fifty-six million, seven hundred sixteen thousand, eight hundred".