253015623168 has 240 divisors, whose sum is σ = 846744138240. Its totient is φ = 65718005760.

The previous prime is 253015623101. The next prime is 253015623191. The reversal of 253015623168 is 861326510352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203753 + ... + 1398231.

It is an arithmetic number, because the mean of its divisors is an integer number (3528100576).

Almost surely, 2^253015623168 is an apocalyptic number.

253015623168 is a gapful number since it is divisible by the number (28) 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 253015623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423372069120).

253015623168 is an abundant number, since it is smaller than the sum of its proper divisors (593728515072).

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

253015623168 is a wasteful number, since it uses less digits than its factorization.

253015623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194529 (or 194502 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 253015623168 in words is "two hundred fifty-three billion, fifteen million, six hundred twenty-three thousand, one hundred sixty-eight".