130364593121280 has 768 divisors, whose sum is σ = 486471847680000. Its totient is φ = 29188320657408.

The previous prime is 130364593121209. The next prime is 130364593121317. The reversal of 130364593121280 is 82121395463031.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2578949446 + ... + 2578999994.

It is an arithmetic number, because the mean of its divisors is an integer number (633426885000).

Almost surely, 2^{130364593121280} is an apocalyptic number.

130364593121280 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 130364593121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243235923840000).

130364593121280 is an abundant number, since it is smaller than the sum of its proper divisors (356107254558720).

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

130364593121280 is a wasteful number, since it uses less digits than its factorization.

130364593121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50832 (or 50812 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 130364593121280 in words is "one hundred thirty trillion, three hundred sixty-four billion, five hundred ninety-three million, one hundred twenty-one thousand, two hundred eighty".