51311898741792 has 768 divisors, whose sum is σ = 157210624327680. Its totient is φ = 14521304678400.

The previous prime is 51311898741781. The next prime is 51311898741869. The reversal of 51311898741792 is 29714789811315.

It is a happy 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, 57848814373 + ... + 57848815259.

It is an arithmetic number, because the mean of its divisors is an integer number (204701333760).

Almost surely, 2^{51311898741792} is an apocalyptic number.

51311898741792 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 51311898741792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78605312163840).

51311898741792 is an abundant number, since it is smaller than the sum of its proper divisors (105898725585888).

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

51311898741792 is a wasteful number, since it uses less digits than its factorization.

51311898741792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 66.

The spelling of 51311898741792 in words is "fifty-one trillion, three hundred eleven billion, eight hundred ninety-eight million, seven hundred forty-one thousand, seven hundred ninety-two".