252987807744 has 576 divisors, whose sum is σ = 907635456000. Its totient is φ = 66249031680.

The previous prime is 252987807731. The next prime is 252987807773. The reversal of 252987807744 is 447708789252.

252987807744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75993472 + ... + 75996800.

It is an arithmetic number, because the mean of its divisors is an integer number (1575756000).

Almost surely, 2^252987807744 is an apocalyptic number.

252987807744 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 252987807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453817728000).

252987807744 is an abundant number, since it is smaller than the sum of its proper divisors (654647648256).

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

252987807744 is a wasteful number, since it uses less digits than its factorization.

252987807744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 252987807744 in words is "two hundred fifty-two billion, nine hundred eighty-seven million, eight hundred seven thousand, seven hundred forty-four".