252759216960 has 280 divisors, whose sum is σ = 918243406080. Its totient is φ = 65968045056.

The previous prime is 252759216959. The next prime is 252759216973. The reversal of 252759216960 is 69612957252.

252759216960 is a `hidden beast` number, since 2 + 527 + 5 + 9 + 21 + 6 + 96 + 0 = 666.

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 = 252759216897 and 252759216906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1114501 + ... + 1321979.

It is an arithmetic number, because the mean of its divisors is an integer number (3279440736).

Almost surely, 2^252759216960 is an apocalyptic number.

252759216960 is a gapful number since it is divisible by the number (20) 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 252759216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459121703040).

252759216960 is an abundant number, since it is smaller than the sum of its proper divisors (665484189120).

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

252759216960 is a wasteful number, since it uses less digits than its factorization.

252759216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207555 (or 207536 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 252759216960 in words is "two hundred fifty-two billion, seven hundred fifty-nine million, two hundred sixteen thousand, nine hundred sixty".