52956134400 has 1056 divisors, whose sum is σ = 204686899200. Its totient is φ = 11973427200.

The previous prime is 52956134377. The next prime is 52956134417. The reversal of 52956134400 is 443165925.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897561571 + ... + 897561629.

Almost surely, 2^52956134400 is an apocalyptic number.

52956134400 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 52956134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102343449600).

52956134400 is an abundant number, since it is smaller than the sum of its proper divisors (151730764800).

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

52956134400 is a wasteful number, since it uses less digits than its factorization.

52956134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 52956134400 in words is "fifty-two billion, nine hundred fifty-six million, one hundred thirty-four thousand, four hundred".