196830882716160 has 1280 divisors, whose sum is σ = 822917697896448. Its totient is φ = 38916327014400.

The previous prime is 196830882716129. The next prime is 196830882716189. The reversal of 196830882716160 is 61617288038691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 196830882716091 and 196830882716100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2597806597 + ... + 2597882363.

Almost surely, 2^{196830882716160} is an apocalyptic number.

196830882716160 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 196830882716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411458848948224).

196830882716160 is an abundant number, since it is smaller than the sum of its proper divisors (626086815180288).

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

196830882716160 is a wasteful number, since it uses less digits than its factorization.

196830882716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76025 (or 76009 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The spelling of 196830882716160 in words is "one hundred ninety-six trillion, eight hundred thirty billion, eight hundred eighty-two million, seven hundred sixteen thousand, one hundred sixty".