51382812672 has 288 divisors, whose sum is σ = 154783184400. Its totient is φ = 17055940608.

The previous prime is 51382812589. The next prime is 51382812703. The reversal of 51382812672 is 27621828315.

51382812672 is a `hidden beast` number, since 5 + 1 + 382 + 8 + 1 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214990729 + ... + 214990967.

Almost surely, 2^51382812672 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 51382812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77391592200).

51382812672 is an abundant number, since it is smaller than the sum of its proper divisors (103400371728).

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

51382812672 is an frugal number, since it uses more digits than its factorization.

51382812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 244 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 51382812672 in words is "fifty-one billion, three hundred eighty-two million, eight hundred twelve thousand, six hundred seventy-two".