19964140560 has 1440 divisors, whose sum is σ = 92619072000. Its totient is φ = 3804143616.

The previous prime is 19964140529. The next prime is 19964140561. The reversal of 19964140560 is 6504146991.

It is a happy number.

19964140560 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 41 + 40 + 560 = 666.

It is a super-2 number, since 2×19964140560² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19964140561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252710601 + ... + 252710679.

It is an arithmetic number, because the mean of its divisors is an integer number (64318800).

Almost surely, 2^19964140560 is an apocalyptic number.

19964140560 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 19964140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536000).

19964140560 is an abundant number, since it is smaller than the sum of its proper divisors (72654931440).

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

19964140560 is a wasteful number, since it uses less digits than its factorization.

19964140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19964140560 in words is "nineteen billion, nine hundred sixty-four million, one hundred forty thousand, five hundred sixty".