53013502400 has 84 divisors (see below), whose sum is σ = 130677848880. Its totient is φ = 21167769600.

The previous prime is 53013502361. The next prime is 53013502429. The reversal of 53013502400 is 420531035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881285 + ... + 939515.

Almost surely, 2^53013502400 is an apocalyptic number.

53013502400 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 53013502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65338924440).

53013502400 is an abundant number, since it is smaller than the sum of its proper divisors (77664346480).

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

53013502400 is a wasteful number, since it uses less digits than its factorization.

53013502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58822 (or 58807 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 53013502400 in words is "fifty-three billion, thirteen million, five hundred two thousand, four hundred".