77021116453540 has 144 divisors (see below), whose sum is σ = 193348694150640. Its totient is φ = 25681884856320.

The previous prime is 77021116453529. The next prime is 77021116453549. The reversal of 77021116453540 is 4535461112077.

It can be written as a sum of positive squares in 8 ways, for example, as 54515068098624 + 22506048354916 = 7383432^2 + 4744054^2 .

It is not an unprimeable number, because it can be changed into a prime (77021116453549) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9713556 + ... + 15760564.

It is an arithmetic number, because the mean of its divisors is an integer number (1342699264935).

Almost surely, 2^{77021116453540} is an apocalyptic number.

77021116453540 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 77021116453540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96674347075320).

77021116453540 is an abundant number, since it is smaller than the sum of its proper divisors (116327577697100).

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

77021116453540 is a wasteful number, since it uses less digits than its factorization.

77021116453540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047390 (or 6047381 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 77021116453540 in words is "seventy-seven trillion, twenty-one billion, one hundred sixteen million, four hundred fifty-three thousand, five hundred forty".