52900502582400 has 768 divisors, whose sum is σ = 193843948193280. Its totient is φ = 12572864512000.

The previous prime is 52900502582353. The next prime is 52900502582423. The reversal of 52900502582400 is 428520500925.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1148165764 + ... + 1148211836.

It is an arithmetic number, because the mean of its divisors is an integer number (252400974210).

Almost surely, 2^{52900502582400} is an apocalyptic number.

52900502582400 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 52900502582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96921974096640).

52900502582400 is an abundant number, since it is smaller than the sum of its proper divisors (140943445610880).

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

52900502582400 is a wasteful number, since it uses less digits than its factorization.

52900502582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46325 (or 46308 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 52900502582400 in words is "fifty-two trillion, nine hundred billion, five hundred two million, five hundred eighty-two thousand, four hundred".