51689177232 has 480 divisors, whose sum is σ = 173578318848. Its totient is φ = 13104000000.

The previous prime is 51689177207. The next prime is 51689177273. The reversal of 51689177232 is 23277198615.

It is a super-2 number, since 2×51689177232² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342312357 + ... + 342312507.

Almost surely, 2^51689177232 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 51689177232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86789159424).

51689177232 is an abundant number, since it is smaller than the sum of its proper divisors (121889141616).

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

51689177232 is a wasteful number, since it uses less digits than its factorization.

51689177232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 51689177232 in words is "fifty-one billion, six hundred eighty-nine million, one hundred seventy-seven thousand, two hundred thirty-two".