65077277056 has 96 divisors (see below), whose sum is σ = 145194184800. Its totient is φ = 29022090240.

The previous prime is 65077277033. The next prime is 65077277087.

65077277056 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 65077276994 and 65077277012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 781225 + ... + 860503.

It is an arithmetic number, because the mean of its divisors is an integer number (1512439425).

Almost surely, 2^65077277056 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 65077277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72597092400).

65077277056 is an abundant number, since it is smaller than the sum of its proper divisors (80116907744).

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

65077277056 is a wasteful number, since it uses less digits than its factorization.

65077277056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79368 (or 79345 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 52.

The spelling of 65077277056 in words is "sixty-five billion, seventy-seven million, two hundred seventy-seven thousand, fifty-six".