18978979282200 has 432 divisors, whose sum is σ = 76889980210680. Its totient is φ = 4338051863040.

The previous prime is 18978979282177. The next prime is 18978979282217. The reversal of 18978979282200 is 228297987981.

18978979282200 is a `hidden beast` number, since 1 + 8 + 9 + 78 + 9 + 79 + 282 + 200 = 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1603437 + ... + 6366236.

Almost surely, 2^{18978979282200} is an apocalyptic number.

18978979282200 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 18978979282200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38444990105340).

18978979282200 is an abundant number, since it is smaller than the sum of its proper divisors (57911000928480).

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

18978979282200 is a wasteful number, since it uses less digits than its factorization.

18978979282200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7969718 (or 7969690 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 18978979282200 in words is "eighteen trillion, nine hundred seventy-eight billion, nine hundred seventy-nine million, two hundred eighty-two thousand, two hundred".