130270054200 has 768 divisors, whose sum is σ = 498928066560. Its totient is φ = 27667200000.

The previous prime is 130270054193. The next prime is 130270054237. The reversal of 130270054200 is 2450072031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495323269 + ... + 495323531.

It is an arithmetic number, because the mean of its divisors is an integer number (649645920).

Almost surely, 2^130270054200 is an apocalyptic number.

130270054200 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 130270054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249464033280).

130270054200 is an abundant number, since it is smaller than the sum of its proper divisors (368658012360).

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

130270054200 is a wasteful number, since it uses less digits than its factorization.

130270054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 130270054200 in words is "one hundred thirty billion, two hundred seventy million, fifty-four thousand, two hundred".