130978500576 has 288 divisors, whose sum is σ = 445602995712. Its totient is φ = 33295933440.

The previous prime is 130978500559. The next prime is 130978500581. The reversal of 130978500576 is 675005879031.

It is a super-2 number, since 2×130978500576² (a number of 23 digits) contains 22 as substring.

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, 2405040 + ... + 2458896.

It is an arithmetic number, because the mean of its divisors is an integer number (1547232624).

Almost surely, 2^130978500576 is an apocalyptic number.

130978500576 is a gapful number since it is divisible by the number (16) 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 130978500576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222801497856).

130978500576 is an abundant number, since it is smaller than the sum of its proper divisors (314624495136).

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

130978500576 is a wasteful number, since it uses less digits than its factorization.

130978500576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53942 (or 53927 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 130978500576 in words is "one hundred thirty billion, nine hundred seventy-eight million, five hundred thousand, five hundred seventy-six".