52689522816 has 576 divisors, whose sum is σ = 184879618560. Its totient is φ = 14892595200.

The previous prime is 52689522793. The next prime is 52689522841. The reversal of 52689522816 is 61822598625.

52689522816 is a `hidden beast` number, since 5 + 26 + 89 + 522 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (4147200) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275861281 + ... + 275861471.

It is an arithmetic number, because the mean of its divisors is an integer number (320971560).

Almost surely, 2^52689522816 is an apocalyptic number.

52689522816 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 52689522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92439809280).

52689522816 is an abundant number, since it is smaller than the sum of its proper divisors (132190095744).

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

52689522816 is a wasteful number, since it uses less digits than its factorization.

52689522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 52689522816 in words is "fifty-two billion, six hundred eighty-nine million, five hundred twenty-two thousand, eight hundred sixteen".