1980094368000 has 1152 divisors, whose sum is σ = 7808668148736. Its totient is φ = 435290112000.

The previous prime is 1980094367921. The next prime is 1980094368029. The reversal of 1980094368000 is 8634900891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2411807590 + ... + 2411808410.

It is an arithmetic number, because the mean of its divisors is an integer number (6778357768).

Almost surely, 2^{1980094368000} is an apocalyptic number.

1980094368000 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 1980094368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904334074368).

1980094368000 is an abundant number, since it is smaller than the sum of its proper divisors (5828573780736).

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

1980094368000 is an equidigital number, since it uses as much as digits as its factorization.

1980094368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 1980094368000 in words is "one trillion, nine hundred eighty billion, ninety-four million, three hundred sixty-eight thousand".