77313950051328 has 528 divisors, whose sum is σ = 244816529237280. Its totient is φ = 23391056166912.

The previous prime is 77313950051323. The next prime is 77313950051339. The reversal of 77313950051328 is 82315005931377.

It is a happy number.

77313950051328 is a `hidden beast` number, since 7 + 7 + 3 + 13 + 95 + 0 + 0 + 513 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (77313950051323) 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, 3984629275 + ... + 3984648677.

It is an arithmetic number, because the mean of its divisors is an integer number (463667669010).

Almost surely, 2^{77313950051328} 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 77313950051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122408264618640).

77313950051328 is an abundant number, since it is smaller than the sum of its proper divisors (167502579185952).

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

77313950051328 is a wasteful number, since it uses less digits than its factorization.

77313950051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20331 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 77313950051328 in words is "seventy-seven trillion, three hundred thirteen billion, nine hundred fifty million, fifty-one thousand, three hundred twenty-eight".