19845570995040 has 1152 divisors, whose sum is σ = 77972267132928. Its totient is φ = 4215554703360.

The previous prime is 19845570994999. The next prime is 19845570995053. The reversal of 19845570995040 is 4059907554891.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 14955214857 + ... + 14955216183.

It is an arithmetic number, because the mean of its divisors is an integer number (67684259664).

Almost surely, 2^{19845570995040} is an apocalyptic number.

19845570995040 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 19845570995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38986133566464).

19845570995040 is an abundant number, since it is smaller than the sum of its proper divisors (58126696137888).

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

19845570995040 is a wasteful number, since it uses less digits than its factorization.

19845570995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 66.

The spelling of 19845570995040 in words is "nineteen trillion, eight hundred forty-five billion, five hundred seventy million, nine hundred ninety-five thousand, forty".