51993905832 has 320 divisors, whose sum is σ = 162561738240. Its totient is φ = 15393369600.

The previous prime is 51993905807. The next prime is 51993905851. The reversal of 51993905832 is 23850939915.

51993905832 is a `hidden beast` number, since 51 + 9 + 9 + 3 + 9 + 0 + 583 + 2 = 666.

It is a super-2 number, since 2×51993905832² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85656873 + ... + 85657479.

It is an arithmetic number, because the mean of its divisors is an integer number (508005432).

Almost surely, 2^51993905832 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 51993905832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280869120).

51993905832 is an abundant number, since it is smaller than the sum of its proper divisors (110567832408).

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

51993905832 is a wasteful number, since it uses less digits than its factorization.

51993905832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 51993905832 in words is "fifty-one billion, nine hundred ninety-three million, nine hundred five thousand, eight hundred thirty-two".