130990764054528 has 2304 divisors, whose sum is σ = 496337587200000. Its totient is φ = 33101901987840.

The previous prime is 130990764054481. The next prime is 130990764054607. The reversal of 130990764054528 is 825450467099031.

130990764054528 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 0 + 7 + 64 + 0 + 545 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107989087650 + ... + 107989088862.

It is an arithmetic number, because the mean of its divisors is an integer number (215424300000).

It is a 1-persistent number, because it is pandigital, but 2⋅130990764054528 = 261981528109056 is not.

Almost surely, 2^{130990764054528} is an apocalyptic number.

130990764054528 is a gapful number since it is divisible by the number (18) 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 130990764054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248168793600000).

130990764054528 is an abundant number, since it is smaller than the sum of its proper divisors (365346823145472).

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

130990764054528 is a wasteful number, since it uses less digits than its factorization.

130990764054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 130990764054528 in words is "one hundred thirty trillion, nine hundred ninety billion, seven hundred sixty-four million, fifty-four thousand, five hundred twenty-eight".