52406294400 has 576 divisors, whose sum is σ = 204880525200. Its totient is φ = 12695961600.

The previous prime is 52406294393. The next prime is 52406294509. The reversal of 52406294400 is 449260425.

52406294400 is a `hidden beast` number, since 5 + 24 + 0 + 629 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 14196555 + ... + 14200245.

Almost surely, 2^52406294400 is an apocalyptic number.

52406294400 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 52406294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102440262600).

52406294400 is an abundant number, since it is smaller than the sum of its proper divisors (152474230800).

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

52406294400 is a wasteful number, since it uses less digits than its factorization.

52406294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 52406294400 in words is "fifty-two billion, four hundred six million, two hundred ninety-four thousand, four hundred".