130807463611680 has 288 divisors, whose sum is σ = 472870123689600. Its totient is φ = 32813994909696.

The previous prime is 130807463611667. The next prime is 130807463611757. The reversal of 130807463611680 is 86116364708031.

130807463611680 is a `hidden beast` number, since 1 + 3 + 0 + 80 + 7 + 46 + 361 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×130807463611680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48604411 + ... + 51225029.

It is an arithmetic number, because the mean of its divisors is an integer number (1641910151700).

Almost surely, 2^{130807463611680} is an apocalyptic number.

130807463611680 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 130807463611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236435061844800).

130807463611680 is an abundant number, since it is smaller than the sum of its proper divisors (342062660077920).

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

130807463611680 is a wasteful number, since it uses less digits than its factorization.

130807463611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622696 (or 2622685 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 130807463611680 in words is "one hundred thirty trillion, eight hundred seven billion, four hundred sixty-three million, six hundred eleven thousand, six hundred eighty".