252586802160 has 1920 divisors, whose sum is σ = 1155217489920. Its totient is φ = 47947161600.

The previous prime is 252586802119. The next prime is 252586802201. The reversal of 252586802160 is 61208685252.

It is a happy number.

252586802160 is a `hidden beast` number, since 2 + 5 + 2 + 586 + 8 + 0 + 2 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (252586802119) and next prime (252586802201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4281132211 + ... + 4281132269.

It is an arithmetic number, because the mean of its divisors is an integer number (601675776).

Almost surely, 2^252586802160 is an apocalyptic number.

252586802160 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 252586802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577608744960).

252586802160 is an abundant number, since it is smaller than the sum of its proper divisors (902630687760).

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

252586802160 is a wasteful number, since it uses less digits than its factorization.

252586802160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 252586802160 in words is "two hundred fifty-two billion, five hundred eighty-six million, eight hundred two thousand, one hundred sixty".