1921380120576 has 1536 divisors, whose sum is σ = 7361722368000. Its totient is φ = 482439462912.

The previous prime is 1921380120563. The next prime is 1921380120631. The reversal of 1921380120576 is 6750210831291.

1921380120576 is a `hidden beast` number, since 1 + 9 + 21 + 38 + 0 + 1 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

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, 6258567015 + ... + 6258567321.

It is an arithmetic number, because the mean of its divisors is an integer number (4792788000).

Almost surely, 2^{1921380120576} is an apocalyptic number.

1921380120576 is a gapful number since it is divisible by the number (16) 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 1921380120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680861184000).

1921380120576 is an abundant number, since it is smaller than the sum of its proper divisors (5440342247424).

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

1921380120576 is a wasteful number, since it uses less digits than its factorization.

1921380120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1921380120576 in words is "one trillion, nine hundred twenty-one billion, three hundred eighty million, one hundred twenty thousand, five hundred seventy-six".