196830385920 has 864 divisors, whose sum is σ = 819340179840. Its totient is φ = 42679664640.

The previous prime is 196830385909. The next prime is 196830386009. The reversal of 196830385920 is 29583038691.

196830385920 is a `hidden beast` number, since 19 + 6 + 8 + 3 + 0 + 38 + 592 + 0 = 666.

It is a super-2 number, since 2×196830385920² (a number of 23 digits) contains 22 as substring.

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, 122330076 + ... + 122331684.

Almost surely, 2^196830385920 is an apocalyptic number.

196830385920 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 196830385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409670089920).

196830385920 is an abundant number, since it is smaller than the sum of its proper divisors (622509793920).

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

196830385920 is a wasteful number, since it uses less digits than its factorization.

196830385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 196830385920 in words is "one hundred ninety-six billion, eight hundred thirty million, three hundred eighty-five thousand, nine hundred twenty".