825237504000 has 2176 divisors, whose sum is σ = 3847321820160. Its totient is φ = 169869312000.

The previous prime is 825237503953. The next prime is 825237504019. The reversal of 825237504000 is 405732528.

825237504000 is a `hidden beast` number, since 82 + 523 + 7 + 50 + 4 + 0 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 20127743980 + ... + 20127744020.

Almost surely, 2^825237504000 is an apocalyptic number.

825237504000 is a gapful number since it is divisible by the number (80) 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 825237504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923660910080).

825237504000 is an abundant number, since it is smaller than the sum of its proper divisors (3022084316160).

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

825237504000 is an equidigital number, since it uses as much as digits as its factorization.

825237504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 825237504000 in words is "eight hundred twenty-five billion, two hundred thirty-seven million, five hundred four thousand".