51198657864768 has 224 divisors, whose sum is σ = 157337720985600. Its totient is φ = 16295207588352.

The previous prime is 51198657864691. The next prime is 51198657864769. The reversal of 51198657864768 is 86746875689115.

51198657864768 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 8 + 65 + 7 + 86 + 476 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (51198657864769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21231813 + ... + 23519931.

Almost surely, 2^{51198657864768} 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 51198657864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78668860492800).

51198657864768 is an abundant number, since it is smaller than the sum of its proper divisors (106139063120832).

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

51198657864768 is a wasteful number, since it uses less digits than its factorization.

51198657864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288726 (or 2288710 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 81.

The spelling of 51198657864768 in words is "fifty-one trillion, one hundred ninety-eight billion, six hundred fifty-seven million, eight hundred sixty-four thousand, seven hundred sixty-eight".