10255564800 has 576 divisors, whose sum is σ = 39932834760. Its totient is φ = 2500853760.

The previous prime is 10255564763. The next prime is 10255564817. The reversal of 10255564800 is 846555201.

10255564800 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 5 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95846347 + ... + 95846453.

Almost surely, 2^10255564800 is an apocalyptic number.

10255564800 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 10255564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966417380).

10255564800 is an abundant number, since it is smaller than the sum of its proper divisors (29677269960).

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

10255564800 is a wasteful number, since it uses less digits than its factorization.

10255564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10255564800 in words is "ten billion, two hundred fifty-five million, five hundred sixty-four thousand, eight hundred".