19966914000 has 480 divisors, whose sum is σ = 78555829248. Its totient is φ = 4682880000.

The previous prime is 19966913983. The next prime is 19966914017. The reversal of 19966914000 is 41966991.

It is an interprime number because it is at equal distance from previous prime (19966913983) and next prime (19966914017).

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, 6136374 + ... + 6139626.

Almost surely, 2^19966914000 is an apocalyptic number.

19966914000 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 19966914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39277914624).

19966914000 is an abundant number, since it is smaller than the sum of its proper divisors (58588915248).

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

19966914000 is a wasteful number, since it uses less digits than its factorization.

19966914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 19966914000 in words is "nineteen billion, nine hundred sixty-six million, nine hundred fourteen thousand".