252179447520 has 1152 divisors, whose sum is σ = 1096513044480. Its totient is φ = 47285821440.

The previous prime is 252179447501. The next prime is 252179447521. The reversal of 252179447520 is 25744971252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252179447520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252179447521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293572851 + ... + 293573709.

It is an arithmetic number, because the mean of its divisors is an integer number (951834240).

Almost surely, 2^252179447520 is an apocalyptic number.

252179447520 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 252179447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548256522240).

252179447520 is an abundant number, since it is smaller than the sum of its proper divisors (844333596960).

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

252179447520 is a wasteful number, since it uses less digits than its factorization.

252179447520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 252179447520 in words is "two hundred fifty-two billion, one hundred seventy-nine million, four hundred forty-seven thousand, five hundred twenty".