53972838864 has 560 divisors, whose sum is σ = 191809223424. Its totient is φ = 14370048000.

The previous prime is 53972838847. The next prime is 53972838877. The reversal of 53972838864 is 46883827935.

53972838864 is a `hidden beast` number, since 539 + 7 + 2 + 8 + 38 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 76993714 + ... + 76994414.

Almost surely, 2^53972838864 is an apocalyptic number.

53972838864 is a gapful number since it is divisible by the number (54) 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 53972838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95904611712).

53972838864 is an abundant number, since it is smaller than the sum of its proper divisors (137836384560).

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

53972838864 is a wasteful number, since it uses less digits than its factorization.

53972838864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 777 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 53972838864 in words is "fifty-three billion, nine hundred seventy-two million, eight hundred thirty-eight thousand, eight hundred sixty-four".