19582106040 has 768 divisors, whose sum is σ = 80510976000. Its totient is φ = 4027345920.

The previous prime is 19582106023. The next prime is 19582106069. The reversal of 19582106040 is 4060128591.

19582106040 is a `hidden beast` number, since 1 + 9 + 582 + 10 + 60 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19582105986 and 19582106004.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 117258037 + ... + 117258203.

It is an arithmetic number, because the mean of its divisors is an integer number (104832000).

Almost surely, 2^19582106040 is an apocalyptic number.

19582106040 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 19582106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40255488000).

19582106040 is an abundant number, since it is smaller than the sum of its proper divisors (60928869960).

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

19582106040 is a wasteful number, since it uses less digits than its factorization.

19582106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 19582106040 in words is "nineteen billion, five hundred eighty-two million, one hundred six thousand, forty".