130896127023840 has 288 divisors, whose sum is σ = 470216958775200. Its totient is φ = 33066786816000.

The previous prime is 130896127023833. The next prime is 130896127023869. The reversal of 130896127023840 is 48320721698031.

It is a happy number.

130896127023840 is a `hidden beast` number, since 1 + 3 + 0 + 89 + 61 + 270 + 238 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579070840 + ... + 579296840.

It is an arithmetic number, because the mean of its divisors is an integer number (1632697773525).

Almost surely, 2^{130896127023840} is an apocalyptic number.

130896127023840 is a gapful number since it is divisible by the number (10) 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 130896127023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235108479387600).

130896127023840 is an abundant number, since it is smaller than the sum of its proper divisors (339320831751360).

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

130896127023840 is a wasteful number, since it uses less digits than its factorization.

130896127023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247210 (or 247199 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 130896127023840 in words is "one hundred thirty trillion, eight hundred ninety-six billion, one hundred twenty-seven million, twenty-three thousand, eight hundred forty".