10252594800 has 360 divisors, whose sum is σ = 40801138560. Its totient is φ = 2335449600.

The previous prime is 10252594777. The next prime is 10252594817. The reversal of 10252594800 is 849525201.

10252594800 is a `hidden beast` number, since 10 + 2 + 52 + 594 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 10558315 + ... + 10559285.

It is an arithmetic number, because the mean of its divisors is an integer number (113336496).

Almost surely, 2^10252594800 is an apocalyptic number.

10252594800 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 10252594800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400569280).

10252594800 is an abundant number, since it is smaller than the sum of its proper divisors (30548543760).

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

10252594800 is a wasteful number, since it uses less digits than its factorization.

10252594800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10252594800 in words is "ten billion, two hundred fifty-two million, five hundred ninety-four thousand, eight hundred".