51988500369792 has 1024 divisors, whose sum is σ = 196149309696000. Its totient is φ = 13196616007680.

The previous prime is 51988500369779. The next prime is 51988500369833. The reversal of 51988500369792 is 29796300588915.

51988500369792 is a `hidden beast` number, since 5 + 1 + 9 + 88 + 500 + 36 + 9 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×51988500369792² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 51988500369792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2195726658 + ... + 2195750334.

It is an arithmetic number, because the mean of its divisors is an integer number (191552060250).

Almost surely, 2^{51988500369792} 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 51988500369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98074654848000).

51988500369792 is an abundant number, since it is smaller than the sum of its proper divisors (144160809326208).

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

51988500369792 is a wasteful number, since it uses less digits than its factorization.

51988500369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24024 (or 24006 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 51988500369792 in words is "fifty-one trillion, nine hundred eighty-eight billion, five hundred million, three hundred sixty-nine thousand, seven hundred ninety-two".