130887982424880 has 480 divisors, whose sum is σ = 463956452743680. Its totient is φ = 33001847746560.

The previous prime is 130887982424869. The next prime is 130887982424893. The reversal of 130887982424880 is 88424289788031.

130887982424880 is a `hidden beast` number, since 1 + 30 + 8 + 8 + 7 + 98 + 2 + 424 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 130887982424799 and 130887982424808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6701540715 + ... + 6701560245.

It is an arithmetic number, because the mean of its divisors is an integer number (966575943216).

Almost surely, 2^{130887982424880} is an apocalyptic number.

130887982424880 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 130887982424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231978226371840).

130887982424880 is an abundant number, since it is smaller than the sum of its proper divisors (333068470318800).

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

130887982424880 is a wasteful number, since it uses less digits than its factorization.

130887982424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24209 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 130887982424880 in words is "one hundred thirty trillion, eight hundred eighty-seven billion, nine hundred eighty-two million, four hundred twenty-four thousand, eight hundred eighty".