130770982400 has 120 divisors (see below), whose sum is σ = 326174547600. Its totient is φ = 51956572160.

The previous prime is 130770982387. The next prime is 130770982451. The reversal of 130770982400 is 4289077031.

It is a super-2 number, since 2×130770982400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1872917 + ... + 1941483.

It is an arithmetic number, because the mean of its divisors is an integer number (2718121230).

Almost surely, 2^130770982400 is an apocalyptic number.

130770982400 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 130770982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163087273800).

130770982400 is an abundant number, since it is smaller than the sum of its proper divisors (195403565200).

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

130770982400 is an equidigital number, since it uses as much as digits as its factorization.

130770982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68744 (or 68723 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 130770982400 in words is "one hundred thirty billion, seven hundred seventy million, nine hundred eighty-two thousand, four hundred".