17978960793600 has 1248 divisors, whose sum is σ = 70021254960000. Its totient is φ = 4509605560320.

The previous prime is 17978960793593. The next prime is 17978960793617. The reversal of 17978960793600 is 639706987971.

It is a happy number.

17978960793600 is a `hidden beast` number, since 1 + 7 + 9 + 7 + 8 + 9 + 6 + 0 + 7 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 7827147652 + ... + 7827149948.

Almost surely, 2^{17978960793600} is an apocalyptic number.

17978960793600 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 17978960793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010627480000).

17978960793600 is an abundant number, since it is smaller than the sum of its proper divisors (52042294166400).

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

17978960793600 is a wasteful number, since it uses less digits than its factorization.

17978960793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 17978960793600 in words is "seventeen trillion, nine hundred seventy-eight billion, nine hundred sixty million, seven hundred ninety-three thousand, six hundred".