1921593884160 has 160 divisors (see below), whose sum is σ = 6144165498240. Its totient is φ = 512335781888.

The previous prime is 1921593884131. The next prime is 1921593884179. The reversal of 1921593884160 is 614883951291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1921593884160² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1921593884160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52228651 + ... + 52265429.

It is an arithmetic number, because the mean of its divisors is an integer number (38401034364).

Almost surely, 2^{1921593884160} is an apocalyptic number.

1921593884160 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 1921593884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072082749120).

1921593884160 is an abundant number, since it is smaller than the sum of its proper divisors (4222571614080).

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

1921593884160 is an equidigital number, since it uses as much as digits as its factorization.

1921593884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43608 (or 43592 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 1921593884160 in words is "one trillion, nine hundred twenty-one billion, five hundred ninety-three million, eight hundred eighty-four thousand, one hundred sixty".