17996348160 has 864 divisors, whose sum is σ = 76894691328. Its totient is φ = 3795517440.

The previous prime is 17996348113. The next prime is 17996348173. The reversal of 17996348160 is 6184369971.

17996348160 is a `hidden beast` number, since 1 + 79 + 96 + 3 + 481 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 17996348097 and 17996348106.

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 95 ways as a sum of consecutive naturals, for example, 57496164 + ... + 57496476.

Almost surely, 2^17996348160 is an apocalyptic number.

17996348160 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 17996348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38447345664).

17996348160 is an abundant number, since it is smaller than the sum of its proper divisors (58898343168).

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

17996348160 is a wasteful number, since it uses less digits than its factorization.

17996348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 17996348160 in words is "seventeen billion, nine hundred ninety-six million, three hundred forty-eight thousand, one hundred sixty".