52077417984 has 240 divisors, whose sum is σ = 159141153600. Its totient is φ = 16348704768.

The previous prime is 52077417967. The next prime is 52077418009. The reversal of 52077417984 is 48971477025.

52077417984 is a `hidden beast` number, since 520 + 7 + 7 + 41 + 79 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52077417984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15670147 + ... + 15673469.

It is an arithmetic number, because the mean of its divisors is an integer number (663088140).

Almost surely, 2^52077417984 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 52077417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79570576800).

52077417984 is an abundant number, since it is smaller than the sum of its proper divisors (107063735616).

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

52077417984 is a wasteful number, since it uses less digits than its factorization.

52077417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 52077417984 in words is "fifty-two billion, seventy-seven million, four hundred seventeen thousand, nine hundred eighty-four".