52016976648 has 576 divisors, whose sum is σ = 183744288000. Its totient is φ = 13167028224.

The previous prime is 52016976643. The next prime is 52016976667. The reversal of 52016976648 is 84667961025.

52016976648 is a `hidden beast` number, since 520 + 1 + 6 + 9 + 76 + 6 + 48 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 52016976594 and 52016976603.

It is not an unprimeable number, because it can be changed into a prime (52016976643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127180668 + ... + 127181076.

It is an arithmetic number, because the mean of its divisors is an integer number (319000500).

Almost surely, 2^52016976648 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 52016976648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91872144000).

52016976648 is an abundant number, since it is smaller than the sum of its proper divisors (131727311352).

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

52016976648 is a wasteful number, since it uses less digits than its factorization.

52016976648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 52016976648 in words is "fifty-two billion, sixteen million, nine hundred seventy-six thousand, six hundred forty-eight".