51979361575680 has 864 divisors, whose sum is σ = 232524618213888. Its totient is φ = 10800901324800.

The previous prime is 51979361575663. The next prime is 51979361575703. The reversal of 51979361575680 is 8657516397915.

51979361575680 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 9 + 3 + 6 + 1 + 57 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 51979361575599 and 51979361575608.

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, 22864920 + ... + 25035240.

Almost surely, 2^{51979361575680} 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 51979361575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116262309106944).

51979361575680 is an abundant number, since it is smaller than the sum of its proper divisors (180545256638208).

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

51979361575680 is a wasteful number, since it uses less digits than its factorization.

51979361575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170375 (or 2170349 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 72.

The spelling of 51979361575680 in words is "fifty-one trillion, nine hundred seventy-nine billion, three hundred sixty-one million, five hundred seventy-five thousand, six hundred eighty".