825800875200 has 336 divisors, whose sum is σ = 3440401308160. Its totient is φ = 188754416640.

The previous prime is 825800875169. The next prime is 825800875213. The reversal of 825800875200 is 2578008528.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1063012 + ... + 1667811.

Almost surely, 2^825800875200 is an apocalyptic number.

825800875200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825800875200 is an abundant number, since it is smaller than the sum of its proper divisors (2614600432960).

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

825800875200 is a wasteful number, since it uses less digits than its factorization.

825800875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730861 (or 2730840 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 825800875200 in words is "eight hundred twenty-five billion, eight hundred million, eight hundred seventy-five thousand, two hundred".