252744261664640 has 64 divisors (see below), whose sum is σ = 606855251988000. Its totient is φ = 100656229914624.

The previous prime is 252744261664603. The next prime is 252744261664673. The reversal of 252744261664640 is 46466162447252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 252744261664640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862108700 + ... + 862401819.

Almost surely, 2^{252744261664640} is an apocalyptic number.

252744261664640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252744261664640 is an abundant number, since it is smaller than the sum of its proper divisors (354110990323360).

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

252744261664640 is a wasteful number, since it uses less digits than its factorization.

252744261664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724510767 (or 1724510755 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 59.

The spelling of 252744261664640 in words is "two hundred fifty-two trillion, seven hundred forty-four billion, two hundred sixty-one million, six hundred sixty-four thousand, six hundred forty".