130868514504000 has 5376 divisors, whose sum is σ = 636438299148288. Its totient is φ = 24883200000000.

The previous prime is 130868514503999. The next prime is 130868514504067. The reversal of 130868514504000 is 405415868031.

130868514504000 is a `hidden beast` number, since 1 + 3 + 0 + 86 + 8 + 514 + 50 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 521388503875 + ... + 521388504125.

It is an arithmetic number, because the mean of its divisors is an integer number (118385100288).

Almost surely, 2^{130868514504000} is an apocalyptic number.

130868514504000 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 130868514504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318219149574144).

130868514504000 is an abundant number, since it is smaller than the sum of its proper divisors (505569784644288).

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

130868514504000 is a wasteful number, since it uses less digits than its factorization.

130868514504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 130868514504000 in words is "one hundred thirty trillion, eight hundred sixty-eight billion, five hundred fourteen million, five hundred four thousand".