77116922265600 has 1296 divisors, whose sum is σ = 332346405343680. Its totient is φ = 16698153369600.

The previous prime is 77116922265571. The next prime is 77116922265637. The reversal of 77116922265600 is 656222961177.

It is a happy number.

77116922265600 is a `hidden beast` number, since 7 + 7 + 1 + 1 + 6 + 9 + 2 + 2 + 26 + 5 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3922319770 + ... + 3922339430.

It is an arithmetic number, because the mean of its divisors is an integer number (256440127580).

Almost surely, 2^{77116922265600} is an apocalyptic number.

77116922265600 is a gapful number since it is divisible by the number (70) 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 77116922265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166173202671840).

77116922265600 is an abundant number, since it is smaller than the sum of its proper divisors (255229483078080).

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

77116922265600 is a wasteful number, since it uses less digits than its factorization.

77116922265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 77116922265600 in words is "seventy-seven trillion, one hundred sixteen billion, nine hundred twenty-two million, two hundred sixty-five thousand, six hundred".