19971826290 has 128 divisors (see below), whose sum is σ = 57405438720. Its totient is φ = 4911819264.

The previous prime is 19971826247. The next prime is 19971826309. The reversal of 19971826290 is 9262817991.

19971826290 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 1 + 8 + 2 + 629 + 0 = 666.

It is a super-3 number, since 3×19971826290³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 6130342 + ... + 6133598.

It is an arithmetic number, because the mean of its divisors is an integer number (448479990).

Almost surely, 2^19971826290 is an apocalyptic number.

19971826290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19971826290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28702719360).

19971826290 is an abundant number, since it is smaller than the sum of its proper divisors (37433612430).

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

19971826290 is a wasteful number, since it uses less digits than its factorization.

19971826290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 19971826290 in words is "nineteen billion, nine hundred seventy-one million, eight hundred twenty-six thousand, two hundred ninety".