1900780992000 has 1920 divisors, whose sum is σ = 7963446306816. Its totient is φ = 447897600000.

The previous prime is 1900780991987. The next prime is 1900780992007. The reversal of 1900780992000 is 2990870091.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1900780992000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900780992007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7013951865 + ... + 7013952135.

Almost surely, 2^{1900780992000} is an apocalyptic number.

1900780992000 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 1900780992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981723153408).

1900780992000 is an abundant number, since it is smaller than the sum of its proper divisors (6062665314816).

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

1900780992000 is an equidigital number, since it uses as much as digits as its factorization.

1900780992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1900780992000 in words is "one trillion, nine hundred billion, seven hundred eighty million, nine hundred ninety-two thousand".