51744678100992 has 480 divisors, whose sum is σ = 164337315488640. Its totient is φ = 16233433399296.

The previous prime is 51744678100987. The next prime is 51744678101057. The reversal of 51744678100992 is 29900187644715.

51744678100992 is a `hidden beast` number, since 5 + 1 + 7 + 4 + 467 + 81 + 0 + 0 + 9 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609098263 + ... + 609183209.

It is an arithmetic number, because the mean of its divisors is an integer number (342369407268).

Almost surely, 2^{51744678100992} 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 51744678100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82168657744320).

51744678100992 is an abundant number, since it is smaller than the sum of its proper divisors (112592637387648).

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

51744678100992 is an frugal number, since it uses more digits than its factorization.

51744678100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85013 (or 84969 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 51744678100992 in words is "fifty-one trillion, seven hundred forty-four billion, six hundred seventy-eight million, one hundred thousand, nine hundred ninety-two".