77738483065152 has 224 divisors, whose sum is σ = 253156220128000. Its totient is φ = 20501823209472.

The previous prime is 77738483065151. The next prime is 77738483065211. The reversal of 77738483065152 is 25156038483777.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77738483065151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908658474 + ... + 908744022.

It is an arithmetic number, because the mean of its divisors is an integer number (1130161697000).

Almost surely, 2^{77738483065152} 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 77738483065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126578110064000).

77738483065152 is an abundant number, since it is smaller than the sum of its proper divisors (175417737062848).

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

77738483065152 is a wasteful number, since it uses less digits than its factorization.

77738483065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137593 (or 137583 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 66.

The spelling of 77738483065152 in words is "seventy-seven trillion, seven hundred thirty-eight billion, four hundred eighty-three million, sixty-five thousand, one hundred fifty-two".