19890217141272 has 160 divisors (see below), whose sum is σ = 59091832443600. Its totient is φ = 6229099431936.

The previous prime is 19890217141271. The next prime is 19890217141351. The reversal of 19890217141272 is 27214171209891.

It is a happy number.

19890217141272 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 0 + 217 + 1 + 412 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19890217141271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4681483 + ... + 7854725.

Almost surely, 2^{19890217141272} is an apocalyptic number.

19890217141272 is a gapful number since it is divisible by the number (12) 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 19890217141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29545916221800).

19890217141272 is an abundant number, since it is smaller than the sum of its proper divisors (39201615302328).

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

19890217141272 is a wasteful number, since it uses less digits than its factorization.

19890217141272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173847 (or 3173834 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 19890217141272 in words is "nineteen trillion, eight hundred ninety billion, two hundred seventeen million, one hundred forty-one thousand, two hundred seventy-two".