52739942400 has 648 divisors, whose sum is σ = 197383987710. Its totient is φ = 13974405120.

The previous prime is 52739942327. The next prime is 52739942429. The reversal of 52739942400 is 424993725.

52739942400 is a `hidden beast` number, since 52 + 73 + 99 + 42 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33867777024 + 18872165376 = 184032^2 + 137376^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 335923122 + ... + 335923278.

Almost surely, 2^52739942400 is an apocalyptic number.

52739942400 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 52739942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98691993855).

52739942400 is an abundant number, since it is smaller than the sum of its proper divisors (144644045310).

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

52739942400 is an frugal number, since it uses more digits than its factorization.

52739942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 52739942400 in words is "fifty-two billion, seven hundred thirty-nine million, nine hundred forty-two thousand, four hundred".