130496882400 has 432 divisors, whose sum is σ = 488856867408. Its totient is φ = 32643072000.

The previous prime is 130496882377. The next prime is 130496882401. The reversal of 130496882400 is 4288694031.

It is a happy number.

130496882400 is a `hidden beast` number, since 130 + 496 + 8 + 8 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×130496882400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130496882401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 40512790 + ... + 40516010.

It is an arithmetic number, because the mean of its divisors is an integer number (1131613119).

Almost surely, 2^130496882400 is an apocalyptic number.

130496882400 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 130496882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244428433704).

130496882400 is an abundant number, since it is smaller than the sum of its proper divisors (358359985008).

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

130496882400 is a wasteful number, since it uses less digits than its factorization.

130496882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3579 counting only the distinct ones).

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

The spelling of 130496882400 in words is "one hundred thirty billion, four hundred ninety-six million, eight hundred eighty-two thousand, four hundred".