19966512240 has 480 divisors, whose sum is σ = 74156539392. Its totient is φ = 4792320000.

The previous prime is 19966512239. The next prime is 19966512263. The reversal of 19966512240 is 4221566991.

19966512240 is a `hidden beast` number, since 1 + 9 + 96 + 6 + 512 + 2 + 40 = 666.

It is a super-2 number, since 2×19966512240² (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 a congruent number.

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, 38323180 + ... + 38323700.

Almost surely, 2^19966512240 is an apocalyptic number.

19966512240 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 19966512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37078269696).

19966512240 is an abundant number, since it is smaller than the sum of its proper divisors (54190027152).

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

19966512240 is a wasteful number, since it uses less digits than its factorization.

19966512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

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

The spelling of 19966512240 in words is "nineteen billion, nine hundred sixty-six million, five hundred twelve thousand, two hundred forty".