253721904744 has 256 divisors, whose sum is σ = 809199360000. Its totient is φ = 65719019520.

The previous prime is 253721904649. The next prime is 253721904833. The reversal of 253721904744 is 447409127352.

It is a junction number, because it is equal to n+sod(n) for n = 253721904693 and 253721904702.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34315512 + ... + 34322904.

It is an arithmetic number, because the mean of its divisors is an integer number (3160935000).

Almost surely, 2^253721904744 is an apocalyptic number.

253721904744 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 253721904744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404599680000).

253721904744 is an abundant number, since it is smaller than the sum of its proper divisors (555477455256).

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

253721904744 is a wasteful number, since it uses less digits than its factorization.

253721904744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 253721904744 in words is "two hundred fifty-three billion, seven hundred twenty-one million, nine hundred four thousand, seven hundred forty-four".