130429015516800 has 18432 divisors, whose sum is σ = 784839767040000. Its totient is φ = 20600900812800.

The previous prime is 130429015516799. The next prime is 130429015516801. The reversal of 130429015516800 is 8615510924031.

It is a happy number.

130429015516800 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 2 + 90 + 1 + 551 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130429015516799) and next prime (130429015516801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130429015516801) by changing a digit.

It is a polite number, since it can be written in 2303 ways as a sum of consecutive naturals, for example, 4497552259186 + ... + 4497552259214.

It is an arithmetic number, because the mean of its divisors is an integer number (42580282500).

130429015516800 is a highly composite number, because it has more divisors than any smaller number.

130429015516800 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^{130429015516800} is an apocalyptic number.

130429015516800 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 130429015516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392419883520000).

130429015516800 is an abundant number, since it is smaller than the sum of its proper divisors (654410751523200).

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

130429015516800 is a wasteful number, since it uses less digits than its factorization.

130429015516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 130429015516800 in words is "one hundred thirty trillion, four hundred twenty-nine billion, fifteen million, five hundred sixteen thousand, eight hundred".