53989405037568 has 2816 divisors, whose sum is σ = 226766673100800. Its totient is φ = 12229741117440.

The previous prime is 53989405037563. The next prime is 53989405037597. The reversal of 53989405037568 is 86573050498935.

53989405037568 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 9 + 4 + 0 + 50 + 3 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53989405037496 and 53989405037505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53989405037563) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 56652050980 + ... + 56652051932.

Almost surely, 2^{53989405037568} 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 53989405037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113383336550400).

53989405037568 is an abundant number, since it is smaller than the sum of its proper divisors (172777268063232).

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

53989405037568 is a wasteful number, since it uses less digits than its factorization.

53989405037568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 53989405037568 in words is "fifty-three trillion, nine hundred eighty-nine billion, four hundred five million, thirty-seven thousand, five hundred sixty-eight".