252339537677760 has 672 divisors, whose sum is σ = 964520829074880. Its totient is φ = 62077050667008.

The previous prime is 252339537677723. The next prime is 252339537677819. The reversal of 252339537677760 is 67776735933252.

252339537677760 is a `hidden beast` number, since 2 + 5 + 2 + 33 + 95 + 376 + 77 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2471999842 + ... + 2472101918.

It is an arithmetic number, because the mean of its divisors is an integer number (1435298852790).

Almost surely, 2^{252339537677760} is an apocalyptic number.

252339537677760 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 252339537677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482260414537440).

252339537677760 is an abundant number, since it is smaller than the sum of its proper divisors (712181291397120).

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

252339537677760 is a wasteful number, since it uses less digits than its factorization.

252339537677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103822 (or 103793 counting only the distinct ones).

The product of its (nonzero) digits is 2100394800, while the sum is 72.

The spelling of 252339537677760 in words is "two hundred fifty-two trillion, three hundred thirty-nine billion, five hundred thirty-seven million, six hundred seventy-seven thousand, seven hundred sixty".