196100936236800 has 7776 divisors, whose sum is σ = 976857057146880. Its totient is φ = 38526359961600.

The previous prime is 196100936236753. The next prime is 196100936236823. The reversal of 196100936236800 is 8632639001691.

196100936236800 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 0 + 0 + 9 + 3 + 623 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 763038662272 + ... + 763038662528.

Almost surely, 2^{196100936236800} is an apocalyptic number.

196100936236800 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 196100936236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488428528573440).

196100936236800 is an abundant number, since it is smaller than the sum of its proper divisors (780756120910080).

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

196100936236800 is a wasteful number, since it uses less digits than its factorization.

196100936236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 196100936236800 in words is "one hundred ninety-six trillion, one hundred billion, nine hundred thirty-six million, two hundred thirty-six thousand, eight hundred".