77286256220160 has 2304 divisors, whose sum is σ = 317296926535680. Its totient is φ = 17904437821440.

The previous prime is 77286256220153. The next prime is 77286256220177. The reversal of 77286256220160 is 6102265268277.

77286256220160 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 6 + 2 + 5 + 622 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77286256220097 and 77286256220106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37103338479 + ... + 37103340561.

It is an arithmetic number, because the mean of its divisors is an integer number (137715679920).

Almost surely, 2^{77286256220160} 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 77286256220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158648463267840).

77286256220160 is an abundant number, since it is smaller than the sum of its proper divisors (240010670315520).

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

77286256220160 is a wasteful number, since it uses less digits than its factorization.

77286256220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 77286256220160 in words is "seventy-seven trillion, two hundred eighty-six billion, two hundred fifty-six million, two hundred twenty thousand, one hundred sixty".