253272738096 has 240 divisors, whose sum is σ = 830529842688. Its totient is φ = 70539033600.

The previous prime is 253272738091. The next prime is 253272738127. The reversal of 253272738096 is 690837272352.

253272738096 is a `hidden beast` number, since 2 + 532 + 7 + 27 + 3 + 80 + 9 + 6 = 666.

253272738096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253272738091) by changing a digit.

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, 75669895 + ... + 75673241.

Almost surely, 2^253272738096 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 253272738096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415264921344).

253272738096 is an abundant number, since it is smaller than the sum of its proper divisors (577257104592).

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

253272738096 is a wasteful number, since it uses less digits than its factorization.

253272738096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 253272738096 in words is "two hundred fifty-three billion, two hundred seventy-two million, seven hundred thirty-eight thousand, ninety-six".