130965362888640 has 896 divisors, whose sum is σ = 508177229414400. Its totient is φ = 27930945208320.

The previous prime is 130965362888629. The next prime is 130965362888743. The reversal of 130965362888640 is 46888263569031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4391995651 + ... + 4392025469.

It is an arithmetic number, because the mean of its divisors is an integer number (567162086400).

Almost surely, 2^{130965362888640} is an apocalyptic number.

130965362888640 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 130965362888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254088614707200).

130965362888640 is an abundant number, since it is smaller than the sum of its proper divisors (377211866525760).

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

130965362888640 is a wasteful number, since it uses less digits than its factorization.

130965362888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30633 (or 30623 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 130965362888640 in words is "one hundred thirty trillion, nine hundred sixty-five billion, three hundred sixty-two million, eight hundred eighty-eight thousand, six hundred forty".