51232692805632 has 1344 divisors, whose sum is σ = 174959638229376. Its totient is φ = 14300731146240.

The previous prime is 51232692805607. The next prime is 51232692805681. The reversal of 51232692805632 is 23650829623215.

It is a happy number.

51232692805632 is a `hidden beast` number, since 5 + 1 + 2 + 326 + 9 + 280 + 5 + 6 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58152885832 + ... + 58152886712.

It is an arithmetic number, because the mean of its divisors is an integer number (130178302254).

Almost surely, 2^{51232692805632} is an apocalyptic number.

51232692805632 is a gapful number since it is divisible by the number (52) 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 51232692805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87479819114688).

51232692805632 is an abundant number, since it is smaller than the sum of its proper divisors (123726945423744).

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

51232692805632 is a wasteful number, since it uses less digits than its factorization.

51232692805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 51232692805632 in words is "fifty-one trillion, two hundred thirty-two billion, six hundred ninety-two million, eight hundred five thousand, six hundred thirty-two".