253048449072 has 80 divisors (see below), whose sum is σ = 670289286240. Its totient is φ = 82213939200.

The previous prime is 253048449019. The next prime is 253048449119. The reversal of 253048449072 is 270944840352.

It is a super-2 number, since 2×253048449072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027454 + ... + 2148642.

It is an arithmetic number, because the mean of its divisors is an integer number (8378616078).

Almost surely, 2^253048449072 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 253048449072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335144643120).

253048449072 is an abundant number, since it is smaller than the sum of its proper divisors (417240837168).

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

253048449072 is a wasteful number, since it uses less digits than its factorization.

253048449072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122302 (or 122296 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 253048449072 in words is "two hundred fifty-three billion, forty-eight million, four hundred forty-nine thousand, seventy-two".