51579859968 has 1056 divisors, whose sum is σ = 201385497600. Its totient is φ = 12732235776.

The previous prime is 51579859967. The next prime is 51579859973. The reversal of 51579859968 is 86995897515.

It is a super-2 number, since 2×51579859968² (a number of 22 digits) contains 22 as substring.

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 = 51579859896 and 51579859905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51579859967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 621444055 + ... + 621444137.

Almost surely, 2^51579859968 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 51579859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100692748800).

51579859968 is an abundant number, since it is smaller than the sum of its proper divisors (149805637632).

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

51579859968 is a wasteful number, since it uses less digits than its factorization.

51579859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 72.

The spelling of 51579859968 in words is "fifty-one billion, five hundred seventy-nine million, eight hundred fifty-nine thousand, nine hundred sixty-eight".