196970824980000 has 2400 divisors, whose sum is σ = 779482762071552. Its totient is φ = 48683980800000.

The previous prime is 196970824979911. The next prime is 196970824980019. The reversal of 196970824980000 is 89428079691.

196970824980000 is a `hidden beast` number, since 1 + 9 + 69 + 7 + 0 + 82 + 498 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a self number, because there is not a number n which added to its sum of digits gives 196970824980000.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 114451379140 + ... + 114451380860.

Almost surely, 2^{196970824980000} is an apocalyptic number.

196970824980000 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 196970824980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389741381035776).

196970824980000 is an abundant number, since it is smaller than the sum of its proper divisors (582511937091552).

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

196970824980000 is a wasteful number, since it uses less digits than its factorization.

196970824980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 196970824980000 in words is "one hundred ninety-six trillion, nine hundred seventy billion, eight hundred twenty-four million, nine hundred eighty thousand".