1992418706880 has 1792 divisors, whose sum is σ = 8521236541440. Its totient is φ = 428835078144.

The previous prime is 1992418706857. The next prime is 1992418706881. The reversal of 1992418706880 is 886078142991.

1992418706880 is a `hidden beast` number, since 1 + 9 + 92 + 418 + 70 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992418706881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14543202172 + ... + 14543202308.

It is an arithmetic number, because the mean of its divisors is an integer number (4755154320).

Almost surely, 2^{1992418706880} is an apocalyptic number.

1992418706880 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 1992418706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260618270720).

1992418706880 is an abundant number, since it is smaller than the sum of its proper divisors (6528817834560).

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

1992418706880 is a wasteful number, since it uses less digits than its factorization.

1992418706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 1992418706880 in words is "one trillion, nine hundred ninety-two billion, four hundred eighteen million, seven hundred six thousand, eight hundred eighty".