196826112000 has 1344 divisors, whose sum is σ = 848426552064. Its totient is φ = 44590694400.

The previous prime is 196826111869. The next prime is 196826112017. The reversal of 196826112000 is 211628691.

196826112000 is a `hidden beast` number, since 19 + 6 + 8 + 2 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1741823944 + ... + 1741824056.

It is an arithmetic number, because the mean of its divisors is an integer number (631269756).

Almost surely, 2^196826112000 is an apocalyptic number.

196826112000 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 196826112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424213276032).

196826112000 is an abundant number, since it is smaller than the sum of its proper divisors (651600440064).

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

196826112000 is an frugal number, since it uses more digits than its factorization.

196826112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 196826112000 in words is "one hundred ninety-six billion, eight hundred twenty-six million, one hundred twelve thousand".