130083174650880 has 704 divisors, whose sum is σ = 516047272012800. Its totient is φ = 30801920163840.

The previous prime is 130083174650809. The next prime is 130083174651043. The reversal of 130083174650880 is 88056471380031.

It is a happy number.

130083174650880 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 8 + 3 + 17 + 46 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

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, 64392811 + ... + 66382229.

It is an arithmetic number, because the mean of its divisors is an integer number (733021693200).

Almost surely, 2^{130083174650880} is an apocalyptic number.

130083174650880 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 130083174650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258023636006400).

130083174650880 is an abundant number, since it is smaller than the sum of its proper divisors (385964097361920).

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

130083174650880 is a wasteful number, since it uses less digits than its factorization.

130083174650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989507 (or 1989483 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 130083174650880 in words is "one hundred thirty trillion, eighty-three billion, one hundred seventy-four million, six hundred fifty thousand, eight hundred eighty".