825553382400 has 528 divisors, whose sum is σ = 3039935506080. Its totient is φ = 219547238400.

The previous prime is 825553382371. The next prime is 825553382417. The reversal of 825553382400 is 4283355528.

825553382400 is a `hidden beast` number, since 8 + 25 + 55 + 338 + 240 + 0 = 666.

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, 290993782 + ... + 290996618.

It is an arithmetic number, because the mean of its divisors is an integer number (5757453610).

Almost surely, 2^825553382400 is an apocalyptic number.

825553382400 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 825553382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519967753040).

825553382400 is an abundant number, since it is smaller than the sum of its proper divisors (2214382123680).

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

825553382400 is a wasteful number, since it uses less digits than its factorization.

825553382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 825553382400 in words is "eight hundred twenty-five billion, five hundred fifty-three million, three hundred eighty-two thousand, four hundred".