130061087904 has 288 divisors, whose sum is σ = 396730232640. Its totient is φ = 37176606720.

The previous prime is 130061087879. The next prime is 130061087911. The reversal of 130061087904 is 409780160031.

It is a super-2 number, since 2×130061087904² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56719782 + ... + 56722074.

It is an arithmetic number, because the mean of its divisors is an integer number (1377535530).

Almost surely, 2^130061087904 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 130061087904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198365116320).

130061087904 is an abundant number, since it is smaller than the sum of its proper divisors (266669144736).

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

130061087904 is a wasteful number, since it uses less digits than its factorization.

130061087904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 130061087904 in words is "one hundred thirty billion, sixty-one million, eighty-seven thousand, nine hundred four".