253840048352 has 24 divisors (see below), whose sum is σ = 545179195512. Its totient is φ = 115381840000.

The previous prime is 253840048337. The next prime is 253840048361.

It is a happy number.

253840048352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360567899 + ... + 360568602.

It is an arithmetic number, because the mean of its divisors is an integer number (22715799813).

Almost surely, 2^253840048352 is an apocalyptic number.

253840048352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253840048352 is an abundant number, since it is smaller than the sum of its proper divisors (291339147160).

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

253840048352 is a wasteful number, since it uses less digits than its factorization.

253840048352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721136522 (or 721136514 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 253840048352 in words is "two hundred fifty-three billion, eight hundred forty million, forty-eight thousand, three hundred fifty-two".