253625609160 has 960 divisors, whose sum is σ = 1145559697920. Its totient is φ = 49595535360.

The previous prime is 253625609137. The next prime is 253625609161. The reversal of 253625609160 is 61906526352.

253625609160 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 25 + 609 + 16 + 0 = 666.

253625609160 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 not an unprimeable number, because it can be changed into a prime (253625609161) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 29683849 + ... + 29692391.

It is an arithmetic number, because the mean of its divisors is an integer number (1193291352).

Almost surely, 2^253625609160 is an apocalyptic number.

253625609160 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 253625609160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572779848960).

253625609160 is an abundant number, since it is smaller than the sum of its proper divisors (891934088760).

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

253625609160 is a wasteful number, since it uses less digits than its factorization.

253625609160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 253625609160 in words is "two hundred fifty-three billion, six hundred twenty-five million, six hundred nine thousand, one hundred sixty".