825530918400 has 240 divisors, whose sum is σ = 3030101038800. Its totient is φ = 220141486080.

The previous prime is 825530918383. The next prime is 825530918417. The reversal of 825530918400 is 4819035528.

825530918400 is a `hidden beast` number, since 8 + 2 + 553 + 0 + 91 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (825530918383) and next prime (825530918417).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848745 + ... + 1539944.

It is an arithmetic number, because the mean of its divisors is an integer number (12625420995).

Almost surely, 2^825530918400 is an apocalyptic number.

825530918400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825530918400 is an abundant number, since it is smaller than the sum of its proper divisors (2204570120400).

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

825530918400 is a wasteful number, since it uses less digits than its factorization.

825530918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388726 (or 2388699 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 825530918400 in words is "eight hundred twenty-five billion, five hundred thirty million, nine hundred eighteen thousand, four hundred".