252914088960 has 1056 divisors, whose sum is σ = 1031467906560. Its totient is φ = 58907492352.

The previous prime is 252914088937. The next prime is 252914088989. The reversal of 252914088960 is 69880419252.

It is a happy number.

It is a super-3 number, since 3×252914088960³ (a number of 35 digits) contains 333 as substring.

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 = 252914088897 and 252914088906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307307109 + ... + 307307931.

Almost surely, 2^252914088960 is an apocalyptic number.

252914088960 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 252914088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515733953280).

252914088960 is an abundant number, since it is smaller than the sum of its proper divisors (778553817600).

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

252914088960 is a wasteful number, since it uses less digits than its factorization.

252914088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 252914088960 in words is "two hundred fifty-two billion, nine hundred fourteen million, eighty-eight thousand, nine hundred sixty".