253406320128 has 400 divisors, whose sum is σ = 817140105936. Its totient is φ = 77721845760.

The previous prime is 253406320103. The next prime is 253406320147. The reversal of 253406320128 is 821023604352.

253406320128 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 0 + 632 + 0 + 12 + 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 = 253406320092 and 253406320101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238836718 + ... + 238837778.

Almost surely, 2^253406320128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253406320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408570052968).

253406320128 is an abundant number, since it is smaller than the sum of its proper divisors (563733785808).

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

253406320128 is a wasteful number, since it uses less digits than its factorization.

253406320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 253406320128 in words is "two hundred fifty-three billion, four hundred six million, three hundred twenty thousand, one hundred twenty-eight".