52954598400 has 264 divisors, whose sum is σ = 190931452224. Its totient is φ = 12837273600.

The previous prime is 52954598387. The next prime is 52954598407. The reversal of 52954598400 is 489545925.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (52954598407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813459 + ... + 876141.

Almost surely, 2^52954598400 is an apocalyptic number.

52954598400 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 52954598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95465726112).

52954598400 is an abundant number, since it is smaller than the sum of its proper divisors (137976853824).

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

52954598400 is a wasteful number, since it uses less digits than its factorization.

52954598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62727 (or 62704 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 52954598400 in words is "fifty-two billion, nine hundred fifty-four million, five hundred ninety-eight thousand, four hundred".