19116000540 has 768 divisors, whose sum is σ = 79252992000. Its totient is φ = 3787886592.

The previous prime is 19116000481. The next prime is 19116000581. The reversal of 19116000540 is 4500061191.

19116000540 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 600 + 0 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40933387 + ... + 40933853.

It is an arithmetic number, because the mean of its divisors is an integer number (103194000).

Almost surely, 2^19116000540 is an apocalyptic number.

19116000540 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 19116000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496000).

19116000540 is an abundant number, since it is smaller than the sum of its proper divisors (60136991460).

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

19116000540 is a wasteful number, since it uses less digits than its factorization.

19116000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 19116000540 in words is "nineteen billion, one hundred sixteen million, five hundred forty", and thus it is an aban number.