130563014400 has 2592 divisors, whose sum is σ = 648928465920. Its totient is φ = 24962826240.

The previous prime is 130563014399. The next prime is 130563014429. The reversal of 130563014400 is 4410365031.

130563014400 is a `hidden beast` number, since 13 + 0 + 5 + 630 + 14 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5676652789 + ... + 5676652811.

Almost surely, 2^130563014400 is an apocalyptic number.

130563014400 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 130563014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324464232960).

130563014400 is an abundant number, since it is smaller than the sum of its proper divisors (518365451520).

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

130563014400 is a wasteful number, since it uses less digits than its factorization.

130563014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130563014400 its reverse (4410365031), we get a palindrome (134973379431).

The spelling of 130563014400 in words is "one hundred thirty billion, five hundred sixty-three million, fourteen thousand, four hundred".