17991429120 has 792 divisors, whose sum is σ = 76075101024. Its totient is φ = 3850371072.

The previous prime is 17991429101. The next prime is 17991429133. The reversal of 17991429120 is 2192419971.

It is a happy number.

17991429120 is a `hidden beast` number, since 17 + 9 + 91 + 429 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93219744 + ... + 93219936.

Almost surely, 2^17991429120 is an apocalyptic number.

17991429120 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 17991429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38037550512).

17991429120 is an abundant number, since it is smaller than the sum of its proper divisors (58083671904).

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

17991429120 is a wasteful number, since it uses less digits than its factorization.

17991429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 17991429120 in words is "seventeen billion, nine hundred ninety-one million, four hundred twenty-nine thousand, one hundred twenty".