52672757760 has 864 divisors, whose sum is σ = 220566037770. Its totient is φ = 12039487488.

The previous prime is 52672757759. The next prime is 52672757779. The reversal of 52672757760 is 6775727625.

It is a happy number.

52672757760 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 2 + 7 + 577 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47405481984 + 5267275776 = 217728^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 52672757697 and 52672757706.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7524679677 + ... + 7524679683.

Almost surely, 2^52672757760 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 52672757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110283018885).

52672757760 is an abundant number, since it is smaller than the sum of its proper divisors (167893280010).

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

52672757760 is an frugal number, since it uses more digits than its factorization.

52672757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 52672757760 in words is "fifty-two billion, six hundred seventy-two million, seven hundred fifty-seven thousand, seven hundred sixty".