253813772160 has 1536 divisors, whose sum is σ = 1046938608000. Its totient is φ = 58692501504.

The previous prime is 253813772159. The next prime is 253813772183. The reversal of 253813772160 is 61277318352.

253813772160 is a `hidden beast` number, since 2 + 538 + 1 + 37 + 7 + 21 + 60 = 666.

253813772160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6859831662 + ... + 6859831698.

Almost surely, 2^253813772160 is an apocalyptic number.

253813772160 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 253813772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523469304000).

253813772160 is an abundant number, since it is smaller than the sum of its proper divisors (793124835840).

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

253813772160 is an equidigital number, since it uses as much as digits as its factorization.

253813772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 253813772160 in words is "two hundred fifty-three billion, eight hundred thirteen million, seven hundred seventy-two thousand, one hundred sixty".