51039802972704 has 1152 divisors, whose sum is σ = 183452062187520. Its totient is φ = 12268363161600.

The previous prime is 51039802972649. The next prime is 51039802972709. The reversal of 51039802972704 is 40727920893015.

It is a happy number.

It is a super-2 number, since 2×51039802972704² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (51039802972709) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6231201249 + ... + 6231209439.

It is an arithmetic number, because the mean of its divisors is an integer number (159246581760).

Almost surely, 2^{51039802972704} 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 51039802972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91726031093760).

51039802972704 is an abundant number, since it is smaller than the sum of its proper divisors (132412259214816).

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

51039802972704 is a wasteful number, since it uses less digits than its factorization.

51039802972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 51039802972704 in words is "fifty-one trillion, thirty-nine billion, eight hundred two million, nine hundred seventy-two thousand, seven hundred four".