52774953984 has 99 divisors (see below), whose sum is σ = 152450241073. Its totient is φ = 17584300032.

The previous prime is 52774953949. The next prime is 52774953989. The reversal of 52774953984 is 48935947725.

The square root of 52774953984 is 229728.

It is a perfect power (a square), and thus also a powerful number.

52774953984 is a `hidden beast` number, since 5 + 27 + 74 + 9 + 539 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1096934400 + 51678019584 = 33120^2 + 227328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52774953989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22052692 + ... + 22055084.

Almost surely, 2^52774953984 is an apocalyptic number.

52774953984 is the 229728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52774953984

52774953984 is an abundant number, since it is smaller than the sum of its proper divisors (99675287089).

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

52774953984 is an frugal number, since it uses more digits than its factorization.

52774953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 2398 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 52774953984 in words is "fifty-two billion, seven hundred seventy-four million, nine hundred fifty-three thousand, nine hundred eighty-four".