130429209600 has 792 divisors, whose sum is σ = 493539101952. Its totient is φ = 32845824000.

The previous prime is 130429209583. The next prime is 130429209611. The reversal of 130429209600 is 6902924031.

130429209600 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 29 + 20 + 9 + 600 = 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 71 ways as a sum of consecutive naturals, for example, 800179119 + ... + 800179281.

Almost surely, 2^130429209600 is an apocalyptic number.

130429209600 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 130429209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246769550976).

130429209600 is an abundant number, since it is smaller than the sum of its proper divisors (363109892352).

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

130429209600 is a wasteful number, since it uses less digits than its factorization.

130429209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 130429209600 in words is "one hundred thirty billion, four hundred twenty-nine million, two hundred nine thousand, six hundred".