130563614110400 has 168 divisors, whose sum is σ = 326160545031936. Its totient is φ = 51431786828800.

The previous prime is 130563614110373. The next prime is 130563614110409. The reversal of 130563614110400 is 4011416365031.

It is not an unprimeable number, because it can be changed into a prime (130563614110409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100115327 + ... + 101411073.

Almost surely, 2^{130563614110400} is an apocalyptic number.

130563614110400 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 130563614110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163080272515968).

130563614110400 is an abundant number, since it is smaller than the sum of its proper divisors (195596930921536).

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

130563614110400 is a wasteful number, since it uses less digits than its factorization.

130563614110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296727 (or 1296712 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 130563614110400 in words is "one hundred thirty trillion, five hundred sixty-three billion, six hundred fourteen million, one hundred ten thousand, four hundred".