53712638400 has 168 divisors, whose sum is σ = 176493190320. Its totient is φ = 14301347840.

The previous prime is 53712638389. The next prime is 53712638423. The reversal of 53712638400 is 483621735.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3241336 + ... + 3257864.

Almost surely, 2^53712638400 is an apocalyptic number.

53712638400 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 53712638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88246595160).

53712638400 is an abundant number, since it is smaller than the sum of its proper divisors (122780551920).

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

53712638400 is a wasteful number, since it uses less digits than its factorization.

53712638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17231 (or 17216 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 53712638400 in words is "fifty-three billion, seven hundred twelve million, six hundred thirty-eight thousand, four hundred".