19926101880 has 384 divisors, whose sum is σ = 71424737280. Its totient is φ = 4795822080.

The previous prime is 19926101879. The next prime is 19926101887. The reversal of 19926101880 is 8810162991.

19926101880 is a `hidden beast` number, since 19 + 9 + 2 + 610 + 18 + 8 + 0 = 666.

It is a super-2 number, since 2×19926101880² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19926101887) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24094027 + ... + 24094853.

It is an arithmetic number, because the mean of its divisors is an integer number (186001920).

Almost surely, 2^19926101880 is an apocalyptic number.

19926101880 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 19926101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712368640).

19926101880 is an abundant number, since it is smaller than the sum of its proper divisors (51498635400).

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

19926101880 is a wasteful number, since it uses less digits than its factorization.

19926101880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 19926101880 in words is "nineteen billion, nine hundred twenty-six million, one hundred one thousand, eight hundred eighty".