48592979568 has 400 divisors, whose sum is σ = 163763258560. Its totient is φ = 13625044992.

The previous prime is 48592979521. The next prime is 48592979597. The reversal of 48592979568 is 86597929584.

48592979568 is a `hidden beast` number, since 4 + 8 + 59 + 2 + 9 + 7 + 9 + 568 = 666.

It is a super-2 number, since 2×48592979568² (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 = 48592979496 and 48592979505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155248980 + ... + 155249292.

Almost surely, 2^48592979568 is an apocalyptic number.

48592979568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48592979568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81881629280).

48592979568 is an abundant number, since it is smaller than the sum of its proper divisors (115170278992).

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

48592979568 is a wasteful number, since it uses less digits than its factorization.

48592979568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 48592979568 in words is "forty-eight billion, five hundred ninety-two million, nine hundred seventy-nine thousand, five hundred sixty-eight".