196672129315200 has 3456 divisors, whose sum is σ = 972189982108800. Its totient is φ = 38714476953600.

The previous prime is 196672129315171. The next prime is 196672129315231. The reversal of 196672129315200 is 2513921276691.

196672129315200 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 7 + 21 + 2 + 93 + 1 + 520 + 0 = 666.

196672129315200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 7963389252 + ... + 7963413948.

It is an arithmetic number, because the mean of its divisors is an integer number (281304971675).

Almost surely, 2^{196672129315200} is an apocalyptic number.

196672129315200 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 196672129315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486094991054400).

196672129315200 is an abundant number, since it is smaller than the sum of its proper divisors (775517852793600).

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

196672129315200 is a wasteful number, since it uses less digits than its factorization.

196672129315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24780 (or 24744 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 196672129315200 in words is "one hundred ninety-six trillion, six hundred seventy-two billion, one hundred twenty-nine million, three hundred fifteen thousand, two hundred".