196700972832000 has 8064 divisors, whose sum is σ = 968044574515200. Its totient is φ = 39504568320000.

The previous prime is 196700972831981. The next prime is 196700972832037. The reversal of 196700972832000 is 238279007691.

196700972832000 is a `hidden beast` number, since 1 + 9 + 6 + 70 + 0 + 97 + 283 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 3224606111970 + ... + 3224606112030.

Almost surely, 2^{196700972832000} is an apocalyptic number.

196700972832000 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 196700972832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484022287257600).

196700972832000 is an abundant number, since it is smaller than the sum of its proper divisors (771343601683200).

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

196700972832000 is an frugal number, since it uses more digits than its factorization.

196700972832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 196700972832000 in words is "one hundred ninety-six trillion, seven hundred billion, nine hundred seventy-two million, eight hundred thirty-two thousand".