68982162800202 has 128 divisors (see below), whose sum is σ = 163196097822720. Its totient is φ = 21552599724480.

The previous prime is 68982162800197. The next prime is 68982162800207. The reversal of 68982162800202 is 20200826128986.

It is a happy number.

68982162800202 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 2 + 1 + 628 + 0 + 0 + 2 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (68982162800197) and next prime (68982162800207).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68982162800207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13723788 + ... + 18063960.

It is an arithmetic number, because the mean of its divisors is an integer number (1274969514240).

Almost surely, 2^{68982162800202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68982162800202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81598048911360).

68982162800202 is an abundant number, since it is smaller than the sum of its proper divisors (94213935022518).

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

68982162800202 is a wasteful number, since it uses less digits than its factorization.

68982162800202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340465 (or 4340459 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 68982162800202 in words is "sixty-eight trillion, nine hundred eighty-two billion, one hundred sixty-two million, eight hundred thousand, two hundred two".