130435905600 has 1008 divisors, whose sum is σ = 622524739200. Its totient is φ = 25015910400.

The previous prime is 130435905583. The next prime is 130435905617. The reversal of 130435905600 is 6509534031.

130435905600 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 5 + 90 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130435905583) and next prime (130435905617).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×130435905600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14409876 + ... + 14418924.

Almost surely, 2^130435905600 is an apocalyptic number.

130435905600 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 130435905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311262369600).

130435905600 is an abundant number, since it is smaller than the sum of its proper divisors (492088833600).

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

130435905600 is a wasteful number, since it uses less digits than its factorization.

130435905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 130435905600 in words is "one hundred thirty billion, four hundred thirty-five million, nine hundred five thousand, six hundred".