10007865025200 has 600 divisors, whose sum is σ = 41061444399360. Its totient is φ = 2286789926400.

The previous prime is 10007865025177. The next prime is 10007865025241. The reversal of 10007865025200 is 252056870001.

It is a happy number.

10007865025200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 86 + 50 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1104738271 + ... + 1104747329.

Almost surely, 2^{10007865025200} is an apocalyptic number.

10007865025200 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 10007865025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530722199680).

10007865025200 is an abundant number, since it is smaller than the sum of its proper divisors (31053579374160).

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

10007865025200 is a wasteful number, since it uses less digits than its factorization.

10007865025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13967 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10007865025200 in words is "ten trillion, seven billion, eight hundred sixty-five million, twenty-five thousand, two hundred".