130256510036400 has 2160 divisors, whose sum is σ = 555401044343808. Its totient is φ = 27980992512000.

The previous prime is 130256510036351. The next prime is 130256510036447. The reversal of 130256510036400 is 4630015652031.

130256510036400 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 5 + 6 + 5 + 1 + 0 + 0 + 3 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13126721839 + ... + 13126731761.

Almost surely, 2^{130256510036400} is an apocalyptic number.

130256510036400 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 130256510036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277700522171904).

130256510036400 is an abundant number, since it is smaller than the sum of its proper divisors (425144534307408).

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

130256510036400 is a wasteful number, since it uses less digits than its factorization.

130256510036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 130256510036400 its reverse (4630015652031), we get a palindrome (134886525688431).

The spelling of 130256510036400 in words is "one hundred thirty trillion, two hundred fifty-six billion, five hundred ten million, thirty-six thousand, four hundred".