53338557024000 has 720 divisors, whose sum is σ = 199755102683136. Its totient is φ = 14132911104000.

The previous prime is 53338557023923. The next prime is 53338557024013. The reversal of 53338557024000 is 42075583335.

53338557024000 is a `hidden beast` number, since 5 + 3 + 3 + 38 + 5 + 570 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 406878465 + ... + 407009535.

Almost surely, 2^{53338557024000} is an apocalyptic number.

53338557024000 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 53338557024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99877551341568).

53338557024000 is an abundant number, since it is smaller than the sum of its proper divisors (146416545659136).

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

53338557024000 is a wasteful number, since it uses less digits than its factorization.

53338557024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131271 (or 131238 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 53338557024000 in words is "fifty-three trillion, three hundred thirty-eight billion, five hundred fifty-seven million, twenty-four thousand".