51979677281280 has 1232 divisors, whose sum is σ = 214031563591680. Its totient is φ = 11860256784384.

The previous prime is 51979677281173. The next prime is 51979677281281. The reversal of 51979677281280 is 8218277697915.

51979677281280 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 9 + 67 + 7 + 281 + 280 = 666.

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 = 51979677281199 and 51979677281208.

It is not an unprimeable number, because it can be changed into a prime (51979677281281) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18785570457 + ... + 18785573223.

Almost surely, 2^{51979677281280} 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 51979677281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107015781795840).

51979677281280 is an abundant number, since it is smaller than the sum of its proper divisors (162051886310400).

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

51979677281280 is an equidigital number, since it uses as much as digits as its factorization.

51979677281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 51979677281280 in words is "fifty-one trillion, nine hundred seventy-nine billion, six hundred seventy-seven million, two hundred eighty-one thousand, two hundred eighty".