252620169768 has 96 divisors (see below), whose sum is σ = 712646494560. Its totient is φ = 83835622080.

The previous prime is 252620169751. The next prime is 252620169797. The reversal of 252620169768 is 867961026252.

252620169768 is a `hidden beast` number, since 2 + 5 + 2 + 620 + 1 + 6 + 9 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×252620169768² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155058 + ... + 727518.

It is an arithmetic number, because the mean of its divisors is an integer number (7423400985).

Almost surely, 2^252620169768 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 252620169768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356323247280).

252620169768 is an abundant number, since it is smaller than the sum of its proper divisors (460026324792).

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

252620169768 is a wasteful number, since it uses less digits than its factorization.

252620169768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572709 (or 572693 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 252620169768 in words is "two hundred fifty-two billion, six hundred twenty million, one hundred sixty-nine thousand, seven hundred sixty-eight".