130766075658240 has 1088 divisors, whose sum is σ = 465447423467520. Its totient is φ = 31085329121280.

The previous prime is 130766075658223. The next prime is 130766075658289. The reversal of 130766075658240 is 42856570667031.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 125857627641 + ... + 125857628679.

Almost surely, 2^{130766075658240} is an apocalyptic number.

130766075658240 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 130766075658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232723711733760).

130766075658240 is an abundant number, since it is smaller than the sum of its proper divisors (334681347809280).

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

130766075658240 is a wasteful number, since it uses less digits than its factorization.

130766075658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 130766075658240 in words is "one hundred thirty trillion, seven hundred sixty-six billion, seventy-five million, six hundred fifty-eight thousand, two hundred forty".