19824120540 has 144 divisors (see below), whose sum is σ = 68782791168. Its totient is φ = 4527326592.

The previous prime is 19824120487. The next prime is 19824120559. The reversal of 19824120540 is 4502142891.

19824120540 is a `hidden beast` number, since 1 + 98 + 2 + 4 + 1 + 20 + 540 = 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 = 19824120495 and 19824120504.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1610449 + ... + 1622711.

It is an arithmetic number, because the mean of its divisors is an integer number (477658272).

Almost surely, 2^19824120540 is an apocalyptic number.

19824120540 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 19824120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34391395584).

19824120540 is an abundant number, since it is smaller than the sum of its proper divisors (48958670628).

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

19824120540 is a wasteful number, since it uses less digits than its factorization.

19824120540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 19824120540 in words is "nineteen billion, eight hundred twenty-four million, one hundred twenty thousand, five hundred forty".