253311802128 has 720 divisors, whose sum is σ = 943170883200. Its totient is φ = 61950873600.

The previous prime is 253311802111. The next prime is 253311802153. The reversal of 253311802128 is 821208113352.

253311802128 is a `hidden beast` number, since 2 + 53 + 311 + 80 + 212 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253311802092 and 253311802101.

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, 651186958 + ... + 651187346.

It is an arithmetic number, because the mean of its divisors is an integer number (1309959560).

Almost surely, 2^253311802128 is an apocalyptic number.

253311802128 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 253311802128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471585441600).

253311802128 is an abundant number, since it is smaller than the sum of its proper divisors (689859081072).

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

253311802128 is a wasteful number, since it uses less digits than its factorization.

253311802128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 253311802128 in words is "two hundred fifty-three billion, three hundred eleven million, eight hundred two thousand, one hundred twenty-eight".