196317209088000 has 4160 divisors, whose sum is σ = 982895403409920. Its totient is φ = 37647286272000.

The previous prime is 196317209087947. The next prime is 196317209088019. The reversal of 196317209088000 is 880902713691.

It is a tau number, because it is divible by the number of its divisors (4160).

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 319 ways as a sum of consecutive naturals, for example, 41513469636 + ... + 41513474364.

It is an arithmetic number, because the mean of its divisors is an integer number (236272933512).

Almost surely, 2^{196317209088000} is an apocalyptic number.

196317209088000 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 196317209088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491447701704960).

196317209088000 is an abundant number, since it is smaller than the sum of its proper divisors (786578194321920).

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

196317209088000 is a wasteful number, since it uses less digits than its factorization.

196317209088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 196317209088000 in words is "one hundred ninety-six trillion, three hundred seventeen billion, two hundred nine million, eighty-eight thousand".