253688138960 has 40 divisors (see below), whose sum is σ = 591365007360. Its totient is φ = 101210294912.

The previous prime is 253688138953. The next prime is 253688138981. The reversal of 253688138960 is 69831886352.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×253688138960³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253688138960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4109180 + ... + 4170459.

It is an arithmetic number, because the mean of its divisors is an integer number (14784125184).

Almost surely, 2^253688138960 is an apocalyptic number.

253688138960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253688138960 is an abundant number, since it is smaller than the sum of its proper divisors (337676868400).

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

253688138960 is a wasteful number, since it uses less digits than its factorization.

253688138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280035 (or 8280029 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 253688138960 in words is "two hundred fifty-three billion, six hundred eighty-eight million, one hundred thirty-eight thousand, nine hundred sixty".