19966124160 has 768 divisors, whose sum is σ = 78191568000. Its totient is φ = 4849238016.

The previous prime is 19966124153. The next prime is 19966124161. The reversal of 19966124160 is 6142166991.

It is a happy number.

19966124160 is a `hidden beast` number, since 19 + 9 + 6 + 612 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×19966124160² (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 (19966124161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85691404 + ... + 85691636.

Almost surely, 2^19966124160 is an apocalyptic number.

19966124160 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 19966124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39095784000).

19966124160 is an abundant number, since it is smaller than the sum of its proper divisors (58225443840).

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

19966124160 is a wasteful number, since it uses less digits than its factorization.

19966124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19966124160 in words is "nineteen billion, nine hundred sixty-six million, one hundred twenty-four thousand, one hundred sixty".