252159320275800 has 768 divisors, whose sum is σ = 954415793479680. Its totient is φ = 53855649792000.

The previous prime is 252159320275777. The next prime is 252159320275817. The reversal of 252159320275800 is 8572023951252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 517561912 + ... + 518048888.

It is an arithmetic number, because the mean of its divisors is an integer number (1242728897760).

Almost surely, 2^{252159320275800} is an apocalyptic number.

252159320275800 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 252159320275800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477207896739840).

252159320275800 is an abundant number, since it is smaller than the sum of its proper divisors (702256473203880).

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

252159320275800 is a wasteful number, since it uses less digits than its factorization.

252159320275800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487172 (or 487163 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 252159320275800 in words is "two hundred fifty-two trillion, one hundred fifty-nine billion, three hundred twenty million, two hundred seventy-five thousand, eight hundred".