130274086924800 has 6720 divisors, whose sum is σ = 633571548825600. Its totient is φ = 26336378880000.

The previous prime is 130274086924771. The next prime is 130274086924847. The reversal of 130274086924800 is 8429680472031.

130274086924800 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 74 + 0 + 8 + 6 + 92 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1289842444750 + ... + 1289842444850.

It is an arithmetic number, because the mean of its divisors is an integer number (94281480480).

Almost surely, 2^{130274086924800} is an apocalyptic number.

130274086924800 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 130274086924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316785774412800).

130274086924800 is an abundant number, since it is smaller than the sum of its proper divisors (503297461900800).

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

130274086924800 is an equidigital number, since it uses as much as digits as its factorization.

130274086924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 130274086924800 in words is "one hundred thirty trillion, two hundred seventy-four billion, eighty-six million, nine hundred twenty-four thousand, eight hundred".