52576646400 has 756 divisors, whose sum is σ = 199459733760. Its totient is φ = 13710643200.

The previous prime is 52576646399. The next prime is 52576646407. The reversal of 52576646400 is 464667525.

52576646400 is a `hidden beast` number, since 525 + 7 + 6 + 64 + 64 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52576646407) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 275270305 + ... + 275270495.

Almost surely, 2^52576646400 is an apocalyptic number.

52576646400 is a gapful number since it is divisible by the number (50) 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 52576646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99729866880).

52576646400 is an abundant number, since it is smaller than the sum of its proper divisors (146883087360).

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

52576646400 is an equidigital number, since it uses as much as digits as its factorization.

52576646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 52576646400 in words is "fifty-two billion, five hundred seventy-six million, six hundred forty-six thousand, four hundred".