68889139200 has 1296 divisors, whose sum is σ = 300259454040. Its totient is φ = 15606743040.

The previous prime is 68889139181. The next prime is 68889139201. The reversal of 68889139200 is 293198886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68889139201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 609638344 + ... + 609638456.

Almost surely, 2^68889139200 is an apocalyptic number.

68889139200 is a gapful number since it is divisible by the number (60) 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 68889139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150129727020).

68889139200 is an abundant number, since it is smaller than the sum of its proper divisors (231370314840).

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

68889139200 is a wasteful number, since it uses less digits than its factorization.

68889139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 68889139200 in words is "sixty-eight billion, eight hundred eighty-nine million, one hundred thirty-nine thousand, two hundred".