130862684160 has 768 divisors, whose sum is σ = 523069747200. Its totient is φ = 30792351744.

The previous prime is 130862684153. The next prime is 130862684213. The reversal of 130862684160 is 61486268031.

130862684160 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 626 + 8 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82666729 + ... + 82668311.

It is an arithmetic number, because the mean of its divisors is an integer number (681080400).

Almost surely, 2^130862684160 is an apocalyptic number.

130862684160 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 130862684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261534873600).

130862684160 is an abundant number, since it is smaller than the sum of its proper divisors (392207063040).

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

130862684160 is a wasteful number, since it uses less digits than its factorization.

130862684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 130862684160 in words is "one hundred thirty billion, eight hundred sixty-two million, six hundred eighty-four thousand, one hundred sixty".