130396057646400 has 2268 divisors, whose sum is σ = 589013408884212. Its totient is φ = 27265847132160.

The previous prime is 130396057646389. The next prime is 130396057646483. The reversal of 130396057646400 is 4646750693031.

130396057646400 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 9 + 6 + 0 + 576 + 4 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 130342774234176 + 53283412224 = 11416776^2 + 230832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 13474838362 + ... + 13474848038.

Almost surely, 2^{130396057646400} is an apocalyptic number.

130396057646400 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 130396057646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294506704442106).

130396057646400 is an abundant number, since it is smaller than the sum of its proper divisors (458617351237812).

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

130396057646400 is a wasteful number, since it uses less digits than its factorization.

130396057646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 130396057646400 in words is "one hundred thirty trillion, three hundred ninety-six billion, fifty-seven million, six hundred forty-six thousand, four hundred".