253324107972 has 288 divisors, whose sum is σ = 795116649600. Its totient is φ = 67102027776.

The previous prime is 253324107941. The next prime is 253324108013. The reversal of 253324107972 is 279701423352.

253324107972 is a `hidden beast` number, since 2 + 533 + 2 + 4 + 107 + 9 + 7 + 2 = 666.

253324107972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 4354863 + ... + 4412649.

It is an arithmetic number, because the mean of its divisors is an integer number (2760821700).

Almost surely, 2^253324107972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253324107972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397558324800).

253324107972 is an abundant number, since it is smaller than the sum of its proper divisors (541792541628).

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

253324107972 is a wasteful number, since it uses less digits than its factorization.

253324107972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57875 (or 57870 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 253324107972 in words is "two hundred fifty-three billion, three hundred twenty-four million, one hundred seven thousand, nine hundred seventy-two".