19406842560 has 672 divisors, whose sum is σ = 79557384192. Its totient is φ = 4250050560.

The previous prime is 19406842529. The next prime is 19406842577. The reversal of 19406842560 is 6524860491.

19406842560 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 6 + 84 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52879497 + ... + 52879863.

Almost surely, 2^19406842560 is an apocalyptic number.

19406842560 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 19406842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778692096).

19406842560 is an abundant number, since it is smaller than the sum of its proper divisors (60150541632).

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

19406842560 is a wasteful number, since it uses less digits than its factorization.

19406842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 19406842560 in words is "nineteen billion, four hundred six million, eight hundred forty-two thousand, five hundred sixty".