19820093005440 has 2560 divisors, whose sum is σ = 92096280460800. Its totient is φ = 3944652079104.

The previous prime is 19820093005429. The next prime is 19820093005457. The reversal of 19820093005440 is 4450039002891.

19820093005440 is a `hidden beast` number, since 1 + 98 + 200 + 9 + 300 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×19820093005440² (a number of 27 digits) contains 22 as substring.

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

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 319 ways as a sum of consecutive naturals, for example, 35583649642 + ... + 35583650198.

It is an arithmetic number, because the mean of its divisors is an integer number (35975109555).

Almost surely, 2^{19820093005440} is an apocalyptic number.

19820093005440 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 19820093005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46048140230400).

19820093005440 is an abundant number, since it is smaller than the sum of its proper divisors (72276187455360).

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

19820093005440 is a wasteful number, since it uses less digits than its factorization.

19820093005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19820093005440 in words is "nineteen trillion, eight hundred twenty billion, ninety-three million, five thousand, four hundred forty".