253300138560 has 1008 divisors, whose sum is σ = 1082201178240. Its totient is φ = 53090795520.

The previous prime is 253300138547. The next prime is 253300138583. The reversal of 253300138560 is 65831003352.

253300138560 is a `hidden beast` number, since 2 + 53 + 30 + 0 + 13 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1994489217 + ... + 1994489343.

It is an arithmetic number, because the mean of its divisors is an integer number (1073612280).

Almost surely, 2^253300138560 is an apocalyptic number.

253300138560 is a gapful number since it is divisible by the number (20) 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 253300138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541100589120).

253300138560 is an abundant number, since it is smaller than the sum of its proper divisors (828901039680).

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

253300138560 is a wasteful number, since it uses less digits than its factorization.

253300138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 253300138560 in words is "two hundred fifty-three billion, three hundred million, one hundred thirty-eight thousand, five hundred sixty".