51292260768 has 576 divisors, whose sum is σ = 171264844800. Its totient is φ = 13357854720.

The previous prime is 51292260727. The next prime is 51292260823. The reversal of 51292260768 is 86706229215.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 374395996 + ... + 374396132.

It is an arithmetic number, because the mean of its divisors is an integer number (297334800).

Almost surely, 2^51292260768 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 51292260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85632422400).

51292260768 is an abundant number, since it is smaller than the sum of its proper divisors (119972584032).

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

51292260768 is a wasteful number, since it uses less digits than its factorization.

51292260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 51292260768 in words is "fifty-one billion, two hundred ninety-two million, two hundred sixty thousand, seven hundred sixty-eight".