130935895566336 has 2688 divisors, whose sum is σ = 494991544320000. Its totient is φ = 33770762403840.

The previous prime is 130935895566331. The next prime is 130935895566347. The reversal of 130935895566336 is 633665598539031.

It is a happy number.

130935895566336 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 3 + 5 + 8 + 9 + 556 + 63 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (130935895566331) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 547848935305 + ... + 547848935543.

It is an arithmetic number, because the mean of its divisors is an integer number (184148640000).

Almost surely, 2^{130935895566336} is an apocalyptic number.

130935895566336 is a gapful number since it is divisible by the number (16) 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 130935895566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247495772160000).

130935895566336 is an abundant number, since it is smaller than the sum of its proper divisors (364055648753664).

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

130935895566336 is an equidigital number, since it uses as much as digits as its factorization.

130935895566336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1417176000, while the sum is 72.

The spelling of 130935895566336 in words is "one hundred thirty trillion, nine hundred thirty-five billion, eight hundred ninety-five million, five hundred sixty-six thousand, three hundred thirty-six".