52947772416 has 1584 divisors, whose sum is σ = 223463620800. Its totient is φ = 12262440960.

The previous prime is 52947772391. The next prime is 52947772417. The reversal of 52947772416 is 61427774925.

52947772416 is a `hidden beast` number, since 5 + 2 + 94 + 77 + 72 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (52947772417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2786724855 + ... + 2786724873.

Almost surely, 2^52947772416 is an apocalyptic number.

52947772416 is a gapful number since it is divisible by the number (56) 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 52947772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111731810400).

52947772416 is an abundant number, since it is smaller than the sum of its proper divisors (170515848384).

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

52947772416 is a wasteful number, since it uses less digits than its factorization.

52947772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 52947772416 in words is "fifty-two billion, nine hundred forty-seven million, seven hundred seventy-two thousand, four hundred sixteen".