17994957120 has 504 divisors, whose sum is σ = 74189441664. Its totient is φ = 3914330112.

The previous prime is 17994957119. The next prime is 17994957137. The reversal of 17994957120 is 2175949971.

17994957120 is a `hidden beast` number, since 1 + 7 + 9 + 9 + 49 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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, 91344862 + ... + 91345058.

Almost surely, 2^17994957120 is an apocalyptic number.

17994957120 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 17994957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094720832).

17994957120 is an abundant number, since it is smaller than the sum of its proper divisors (56194484544).

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

17994957120 is a wasteful number, since it uses less digits than its factorization.

17994957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 17994957120 in words is "seventeen billion, nine hundred ninety-four million, nine hundred fifty-seven thousand, one hundred twenty".