53199756904320 has 768 divisors, whose sum is σ = 211432285471680. Its totient is φ = 12209793269760.

The previous prime is 53199756904313. The next prime is 53199756904339. The reversal of 53199756904320 is 2340965799135.

53199756904320 is a `hidden beast` number, since 5 + 3 + 1 + 9 + 9 + 7 + 569 + 0 + 43 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136011430 + ... + 136402010.

Almost surely, 2^{53199756904320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53199756904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105716142735840).

53199756904320 is an abundant number, since it is smaller than the sum of its proper divisors (158232528567360).

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

53199756904320 is a wasteful number, since it uses less digits than its factorization.

53199756904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390743 (or 390728 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 53199756904320 in words is "fifty-three trillion, one hundred ninety-nine billion, seven hundred fifty-six million, nine hundred four thousand, three hundred twenty".