253199499264 has 840 divisors, whose sum is σ = 850948504560. Its totient is φ = 74912366592.

The previous prime is 253199499253. The next prime is 253199499269. The reversal of 253199499264 is 462994991352.

253199499264 is a `hidden beast` number, since 2 + 5 + 31 + 99 + 499 + 26 + 4 = 666.

Its product of digits (37791360) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253199499269) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5888360427 + ... + 5888360469.

It is an arithmetic number, because the mean of its divisors is an integer number (1013033934).

Almost surely, 2^253199499264 is an apocalyptic number.

253199499264 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 253199499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425474252280).

253199499264 is an abundant number, since it is smaller than the sum of its proper divisors (597749005296).

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

253199499264 is an frugal number, since it uses more digits than its factorization.

253199499264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 253199499264 in words is "two hundred fifty-three billion, one hundred ninety-nine million, four hundred ninety-nine thousand, two hundred sixty-four".