19956142206 has 768 divisors, whose sum is σ = 67629219840. Its totient is φ = 4232632320.

The previous prime is 19956142201. The next prime is 19956142229. The reversal of 19956142206 is 60224165991.

19956142206 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 614 + 2 + 20 + 6 = 666.

It is a super-2 number, since 2×19956142206² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19956142201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 157134915 + ... + 157135041.

It is an arithmetic number, because the mean of its divisors is an integer number (88058880).

Almost surely, 2^19956142206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19956142206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814609920).

19956142206 is an abundant number, since it is smaller than the sum of its proper divisors (47673077634).

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

19956142206 is a wasteful number, since it uses less digits than its factorization.

19956142206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

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

The spelling of 19956142206 in words is "nineteen billion, nine hundred fifty-six million, one hundred forty-two thousand, two hundred six".