53252139784800 has 2160 divisors, whose sum is σ = 209885044622400. Its totient is φ = 11693037312000.

The previous prime is 53252139784799. The next prime is 53252139784813. The reversal of 53252139784800 is 848793125235.

It is a super-2 number, since 2×53252139784800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 641592045559 + ... + 641592045641.

It is an arithmetic number, because the mean of its divisors is an integer number (97169002140).

Almost surely, 2^{53252139784800} is an apocalyptic number.

53252139784800 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 53252139784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104942522311200).

53252139784800 is an abundant number, since it is smaller than the sum of its proper divisors (156632904837600).

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

53252139784800 is a wasteful number, since it uses less digits than its factorization.

53252139784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 53252139784800 in words is "fifty-three trillion, two hundred fifty-two billion, one hundred thirty-nine million, seven hundred eighty-four thousand, eight hundred".