252615222760000 has 420 divisors, whose sum is σ = 671947626102060. Its totient is φ = 94158236160000.

The previous prime is 252615222759967. The next prime is 252615222760031. The reversal of 252615222760000 is 67222516252.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 245982084321856 + 6633138438144 = 15683816^2 + 2575488^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 880696606 + ... + 880983394.

It is an arithmetic number, because the mean of its divisors is an integer number (1599875300243).

Almost surely, 2^{252615222760000} is an apocalyptic number.

252615222760000 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 252615222760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335973813051030).

252615222760000 is an abundant number, since it is smaller than the sum of its proper divisors (419332403342060).

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

252615222760000 is an equidigital number, since it uses as much as digits as its factorization.

252615222760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286920 (or 286876 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 252615222760000 in words is "two hundred fifty-two trillion, six hundred fifteen billion, two hundred twenty-two million, seven hundred sixty thousand".