130416488256 has 84 divisors (see below), whose sum is σ = 346235962848. Its totient is φ = 43324547328.

The previous prime is 130416488099. The next prime is 130416488273. The reversal of 130416488256 is 652884614031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18092205 + ... + 18099411.

Almost surely, 2^130416488256 is an apocalyptic number.

130416488256 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 130416488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173117981424).

130416488256 is an abundant number, since it is smaller than the sum of its proper divisors (215819474592).

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

130416488256 is an frugal number, since it uses more digits than its factorization.

130416488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 130416488256 in words is "one hundred thirty billion, four hundred sixteen million, four hundred eighty-eight thousand, two hundred fifty-six".