52921814400 has 1536 divisors, whose sum is σ = 244784332800. Its totient is φ = 10868981760.

The previous prime is 52921814389. The next prime is 52921814471. The reversal of 52921814400 is 441812925.

52921814400 is a `hidden beast` number, since 5 + 29 + 218 + 14 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416707137 + ... + 416707263.

It is an arithmetic number, because the mean of its divisors is an integer number (159364800).

Almost surely, 2^52921814400 is an apocalyptic number.

52921814400 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 52921814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122392166400).

52921814400 is an abundant number, since it is smaller than the sum of its proper divisors (191862518400).

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

52921814400 is a wasteful number, since it uses less digits than its factorization.

52921814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 52921814400 in words is "fifty-two billion, nine hundred twenty-one million, eight hundred fourteen thousand, four hundred".