1820993521680 has 120 divisors (see below), whose sum is σ = 6201637266240. Its totient is φ = 478758846720.

The previous prime is 1820993521679. The next prime is 1820993521723. The reversal of 1820993521680 is 861253990281.

1820993521680 is a `hidden beast` number, since 1 + 8 + 20 + 9 + 93 + 521 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17759850 + ... + 17862089.

It is an arithmetic number, because the mean of its divisors is an integer number (51680310552).

Almost surely, 2^{1820993521680} is an apocalyptic number.

1820993521680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820993521680 is an abundant number, since it is smaller than the sum of its proper divisors (4380643744560).

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

1820993521680 is a wasteful number, since it uses less digits than its factorization.

1820993521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35622029 (or 35622020 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1820993521680 in words is "one trillion, eight hundred twenty billion, nine hundred ninety-three million, five hundred twenty-one thousand, six hundred eighty".