252938429477888 has 352 divisors, whose sum is σ = 650421014261760. Its totient is φ = 95464030371840.

The previous prime is 252938429477861. The next prime is 252938429477893. The reversal of 252938429477888 is 888774924839252.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×252938429477888² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329753495 + ... + 330519657.

Almost surely, 2^{252938429477888} is an apocalyptic number.

252938429477888 is a gapful number since it is divisible by the number (28) 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 252938429477888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325210507130880).

252938429477888 is an abundant number, since it is smaller than the sum of its proper divisors (397482584783872).

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

252938429477888 is a wasteful number, since it uses less digits than its factorization.

252938429477888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766333 (or 766315 counting only the distinct ones).

The product of its digits is 31213486080, while the sum is 86.

The spelling of 252938429477888 in words is "two hundred fifty-two trillion, nine hundred thirty-eight billion, four hundred twenty-nine million, four hundred seventy-seven thousand, eight hundred eighty-eight".