19542481920 has 1056 divisors, whose sum is σ = 82081097280. Its totient is φ = 4246732800.

The previous prime is 19542481909. The next prime is 19542481927. The reversal of 19542481920 is 2918424591.

It is a happy number.

19542481920 is a `hidden beast` number, since 1 + 9 + 542 + 4 + 81 + 9 + 20 = 666.

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 (19542481927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193489870 + ... + 193489970.

Almost surely, 2^19542481920 is an apocalyptic number.

19542481920 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 19542481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040548640).

19542481920 is an abundant number, since it is smaller than the sum of its proper divisors (62538615360).

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

19542481920 is a wasteful number, since it uses less digits than its factorization.

19542481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19542481920 in words is "nineteen billion, five hundred forty-two million, four hundred eighty-one thousand, nine hundred twenty".