130406608800 has 1152 divisors, whose sum is σ = 534205808640. Its totient is φ = 30481920000.

The previous prime is 130406608781. The next prime is 130406608807. The reversal of 130406608800 is 8806604031.

It is a happy number.

130406608800 is a `hidden beast` number, since 1 + 3 + 0 + 40 + 6 + 608 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130406608807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618040695 + ... + 618040905.

It is an arithmetic number, because the mean of its divisors is an integer number (463720320).

Almost surely, 2^130406608800 is an apocalyptic number.

130406608800 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 130406608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267102904320).

130406608800 is an abundant number, since it is smaller than the sum of its proper divisors (403799199840).

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

130406608800 is a wasteful number, since it uses less digits than its factorization.

130406608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 130406608800 in words is "one hundred thirty billion, four hundred six million, six hundred eight thousand, eight hundred".