252626938780160 has 960 divisors, whose sum is σ = 781752345897600. Its totient is φ = 77730770976768.

The previous prime is 252626938780157. The next prime is 252626938780171. The reversal of 252626938780160 is 61087839626252.

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, 3663189839 + ... + 3663258801.

It is an arithmetic number, because the mean of its divisors is an integer number (814325360310).

Almost surely, 2^{252626938780160} is an apocalyptic number.

252626938780160 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 252626938780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390876172948800).

252626938780160 is an abundant number, since it is smaller than the sum of its proper divisors (529125407117440).

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

252626938780160 is a wasteful number, since it uses less digits than its factorization.

252626938780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69101 (or 69078 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 252626938780160 in words is "two hundred fifty-two trillion, six hundred twenty-six billion, nine hundred thirty-eight million, seven hundred eighty thousand, one hundred sixty".