252976748544 has 288 divisors, whose sum is σ = 793894832640. Its totient is φ = 77141901312.

The previous prime is 252976748533. The next prime is 252976748551. The reversal of 252976748544 is 445847679252.

252976748544 is a `hidden beast` number, since 2 + 5 + 2 + 97 + 67 + 485 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×252976748544³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27071937 + ... + 27081279.

It is an arithmetic number, because the mean of its divisors is an integer number (2756579280).

Almost surely, 2^252976748544 is an apocalyptic number.

252976748544 is a gapful number since it is divisible by the number (24) 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 252976748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396947416320).

252976748544 is an abundant number, since it is smaller than the sum of its proper divisors (540918084096).

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

252976748544 is a wasteful number, since it uses less digits than its factorization.

252976748544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9474 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 252976748544 in words is "two hundred fifty-two billion, nine hundred seventy-six million, seven hundred forty-eight thousand, five hundred forty-four".