52439270400 has 1320 divisors, whose sum is σ = 224820536160. Its totient is φ = 12043468800.

The previous prime is 52439270393. The next prime is 52439270413. The reversal of 52439270400 is 407293425.

52439270400 is a `hidden beast` number, since 5 + 243 + 9 + 2 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2759961591 + ... + 2759961609.

It is an arithmetic number, because the mean of its divisors is an integer number (170318588).

Almost surely, 2^52439270400 is an apocalyptic number.

52439270400 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 52439270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112410268080).

52439270400 is an abundant number, since it is smaller than the sum of its proper divisors (172381265760).

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

52439270400 is a wasteful number, since it uses less digits than its factorization.

52439270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 52439270400 in words is "fifty-two billion, four hundred thirty-nine million, two hundred seventy thousand, four hundred".