53338987200 has 336 divisors, whose sum is σ = 184836669696. Its totient is φ = 13439078400.

The previous prime is 53338987181. The next prime is 53338987217. The reversal of 53338987200 is 278983335.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53338987200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9160290 + ... + 9166110.

It is an arithmetic number, because the mean of its divisors is an integer number (550109136).

Almost surely, 2^53338987200 is an apocalyptic number.

53338987200 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 53338987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92418334848).

53338987200 is an abundant number, since it is smaller than the sum of its proper divisors (131497682496).

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

53338987200 is a wasteful number, since it uses less digits than its factorization.

53338987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 53338987200 in words is "fifty-three billion, three hundred thirty-eight million, nine hundred eighty-seven thousand, two hundred".