252020102946688 has 128 divisors (see below), whose sum is σ = 521075694888000. Its totient is φ = 121269270528000.

The previous prime is 252020102946671. The next prime is 252020102946713. The reversal of 252020102946688 is 886649201020252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407615958 + ... + 1407794986.

Almost surely, 2^{252020102946688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252020102946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260537847444000).

252020102946688 is an abundant number, since it is smaller than the sum of its proper divisors (269055591941312).

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

252020102946688 is a wasteful number, since it uses less digits than its factorization.

252020102946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180304 (or 180292 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 252020102946688 in words is "two hundred fifty-two trillion, twenty billion, one hundred two million, nine hundred forty-six thousand, six hundred eighty-eight".