252107700152700 has 288 divisors, whose sum is σ = 842937373555200. Its totient is φ = 56983751838720.

The previous prime is 252107700152689. The next prime is 252107700152717. The reversal of 252107700152700 is 7251007701252.

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, 115428187 + ... + 117592013.

It is an arithmetic number, because the mean of its divisors is an integer number (2926865880400).

Almost surely, 2^{252107700152700} is an apocalyptic number.

252107700152700 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 252107700152700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421468686777600).

252107700152700 is an abundant number, since it is smaller than the sum of its proper divisors (590829673402500).

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

252107700152700 is a wasteful number, since it uses less digits than its factorization.

252107700152700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164469 (or 2164462 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 39.

Adding to 252107700152700 its reverse (7251007701252), we get a palindrome (259358707853952).

The spelling of 252107700152700 in words is "two hundred fifty-two trillion, one hundred seven billion, seven hundred million, one hundred fifty-two thousand, seven hundred".