77011101010000 has 100 divisors (see below), whose sum is σ = 186475794894400. Its totient is φ = 30800439216000.

The previous prime is 77011101009961. The next prime is 77011101010043. The reversal of 77011101010000 is 1010111077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 77011101010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77093731 + ... + 78086269.

It is an arithmetic number, because the mean of its divisors is an integer number (1864757948944).

Almost surely, 2^{77011101010000} 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 77011101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93237897447200).

77011101010000 is an abundant number, since it is smaller than the sum of its proper divisors (109464693884400).

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

77011101010000 is an equidigital number, since it uses as much as digits as its factorization.

77011101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000326 (or 1000305 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 77011101010000 its reverse (1010111077), we get a palindrome (77012111121077).

The spelling of 77011101010000 in words is "seventy-seven trillion, eleven billion, one hundred one million, ten thousand".