1992056976000 has 3840 divisors, whose sum is σ = 9833157734400. Its totient is φ = 395045683200.

The previous prime is 1992056975983. The next prime is 1992056976001. The reversal of 1992056976000 is 6796502991.

1992056976000 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 0 + 569 + 76 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1992056976001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15685487937 + ... + 15685488063.

It is an arithmetic number, because the mean of its divisors is an integer number (2560718160).

Almost surely, 2^{1992056976000} is an apocalyptic number.

1992056976000 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 1992056976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916578867200).

1992056976000 is an abundant number, since it is smaller than the sum of its proper divisors (7841100758400).

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

1992056976000 is a wasteful number, since it uses less digits than its factorization.

1992056976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1992056976000 in words is "one trillion, nine hundred ninety-two billion, fifty-six million, nine hundred seventy-six thousand".