252328240298880 has 1152 divisors, whose sum is σ = 985820155800480. Its totient is φ = 61617428103168.

The previous prime is 252328240298851. The next prime is 252328240298887. The reversal of 252328240298880 is 88892042823252.

252328240298880 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 28 + 240 + 298 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252328240298887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1662899494 + ... + 1663051226.

Almost surely, 2^{252328240298880} is an apocalyptic number.

252328240298880 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 252328240298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492910077900240).

252328240298880 is an abundant number, since it is smaller than the sum of its proper divisors (733491915501600).

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

252328240298880 is a wasteful number, since it uses less digits than its factorization.

252328240298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151838 (or 151797 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 252328240298880 in words is "two hundred fifty-two trillion, three hundred twenty-eight billion, two hundred forty million, two hundred ninety-eight thousand, eight hundred eighty".