19915886340 has 504 divisors, whose sum is σ = 74302166232. Its totient is φ = 4467778560.

The previous prime is 19915886327. The next prime is 19915886351. The reversal of 19915886340 is 4368851991.

19915886340 is a `hidden beast` number, since 19 + 9 + 1 + 588 + 6 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 984327876 + 18931558464 = 31374^2 + 137592^2 .

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 (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 43579392 + ... + 43579848.

It is an arithmetic number, because the mean of its divisors is an integer number (147424933).

Almost surely, 2^19915886340 is an apocalyptic number.

19915886340 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 19915886340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37151083116).

19915886340 is an abundant number, since it is smaller than the sum of its proper divisors (54386279892).

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

19915886340 is a wasteful number, since it uses less digits than its factorization.

19915886340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19915886340 in words is "nineteen billion, nine hundred fifteen million, eight hundred eighty-six thousand, three hundred forty".