253864105680 has 160 divisors (see below), whose sum is σ = 828746956800. Its totient is φ = 64107127296.

The previous prime is 253864105637. The next prime is 253864105681. The reversal of 253864105680 is 86501468352.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253864105681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12242361 + ... + 12263079.

It is an arithmetic number, because the mean of its divisors is an integer number (5179668480).

Almost surely, 2^253864105680 is an apocalyptic number.

253864105680 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 253864105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414373478400).

253864105680 is an abundant number, since it is smaller than the sum of its proper divisors (574882851120).

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

253864105680 is a wasteful number, since it uses less digits than its factorization.

253864105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23441 (or 23435 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 253864105680 in words is "two hundred fifty-three billion, eight hundred sixty-four million, one hundred five thousand, six hundred eighty".