5816120900688 has 1440 divisors, whose sum is σ = 21949132308480. Its totient is φ = 1423070208000.

The previous prime is 5816120900609. The next prime is 5816120900699. The reversal of 5816120900688 is 8860090216185.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13494479833 + ... + 13494480263.

It is an arithmetic number, because the mean of its divisors is an integer number (15242452992).

Almost surely, 2^{5816120900688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5816120900688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974566154240).

5816120900688 is an abundant number, since it is smaller than the sum of its proper divisors (16133011407792).

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

5816120900688 is a wasteful number, since it uses less digits than its factorization.

5816120900688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 5816120900688 in words is "five trillion, eight hundred sixteen billion, one hundred twenty million, nine hundred thousand, six hundred eighty-eight".