19808260560 has 640 divisors, whose sum is σ = 78972088320. Its totient is φ = 4516300800.

The previous prime is 19808260559. The next prime is 19808260607. The reversal of 19808260560 is 6506280891.

19808260560 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 82 + 6 + 0 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36613890 + ... + 36614430.

It is an arithmetic number, because the mean of its divisors is an integer number (123393888).

Almost surely, 2^19808260560 is an apocalyptic number.

19808260560 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 19808260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39486044160).

19808260560 is an abundant number, since it is smaller than the sum of its proper divisors (59163827760).

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

19808260560 is a wasteful number, since it uses less digits than its factorization.

19808260560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

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

The spelling of 19808260560 in words is "nineteen billion, eight hundred eight million, two hundred sixty thousand, five hundred sixty".