51868249011072 has 768 divisors, whose sum is σ = 172594230681600. Its totient is φ = 14818853339136.

The previous prime is 51868249011067. The next prime is 51868249011127. The reversal of 51868249011072 is 27011094286815.

51868249011072 is a `hidden beast` number, since 5 + 1 + 8 + 6 + 82 + 490 + 1 + 1 + 0 + 72 = 666.

It is a congruent number.

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, 2999369658 + ... + 2999386950.

It is an arithmetic number, because the mean of its divisors is an integer number (224732071200).

Almost surely, 2^{51868249011072} is an apocalyptic number.

51868249011072 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 51868249011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86297115340800).

51868249011072 is an abundant number, since it is smaller than the sum of its proper divisors (120725981670528).

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

51868249011072 is a wasteful number, since it uses less digits than its factorization.

51868249011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17555 (or 17540 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 51868249011072 in words is "fifty-one trillion, eight hundred sixty-eight billion, two hundred forty-nine million, eleven thousand, seventy-two".