253482720624 has 480 divisors, whose sum is σ = 892652866560. Its totient is φ = 67977916416.

The previous prime is 253482720593. The next prime is 253482720671. The reversal of 253482720624 is 426027284352.

It is a self number, because there is not a number n which added to its sum of digits gives 253482720624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302124397 + ... + 302125235.

It is an arithmetic number, because the mean of its divisors is an integer number (1859693472).

Almost surely, 2^253482720624 is an apocalyptic number.

253482720624 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 253482720624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446326433280).

253482720624 is an abundant number, since it is smaller than the sum of its proper divisors (639170145936).

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

253482720624 is a wasteful number, since it uses less digits than its factorization.

253482720624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 253482720624 in words is "two hundred fifty-three billion, four hundred eighty-two million, seven hundred twenty thousand, six hundred twenty-four".