253864986624 has 576 divisors, whose sum is σ = 801233596800. Its totient is φ = 79383822336.

The previous prime is 253864986607. The next prime is 253864986659. The reversal of 253864986624 is 426689468352.

It is a happy number.

253864986624 is a `hidden beast` number, since 2 + 5 + 3 + 86 + 498 + 6 + 62 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2464708557 + ... + 2464708659.

It is an arithmetic number, because the mean of its divisors is an integer number (1391030550).

Almost surely, 2^253864986624 is an apocalyptic number.

253864986624 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 253864986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400616798400).

253864986624 is an abundant number, since it is smaller than the sum of its proper divisors (547368610176).

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

253864986624 is a wasteful number, since it uses less digits than its factorization.

253864986624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 190 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 253864986624 in words is "two hundred fifty-three billion, eight hundred sixty-four million, nine hundred eighty-six thousand, six hundred twenty-four".