130179241995264 has 2464 divisors, whose sum is σ = 514115637657600. Its totient is φ = 31942265241600.

The previous prime is 130179241995217. The next prime is 130179241995421. The reversal of 130179241995264 is 462599142971031.

130179241995264 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 7 + 92 + 4 + 19 + 9 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 76621095087 + ... + 76621096785.

Almost surely, 2^{130179241995264} is an apocalyptic number.

130179241995264 is a gapful number since it is divisible by the number (14) 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 130179241995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257057818828800).

130179241995264 is an abundant number, since it is smaller than the sum of its proper divisors (383936395662336).

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

130179241995264 is a wasteful number, since it uses less digits than its factorization.

130179241995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 130179241995264 in words is "one hundred thirty trillion, one hundred seventy-nine billion, two hundred forty-one million, nine hundred ninety-five thousand, two hundred sixty-four".