77257060564992 has 1440 divisors, whose sum is σ = 284127574671360. Its totient is φ = 18393661440000.

The previous prime is 77257060564949. The next prime is 77257060565137. The reversal of 77257060564992 is 29946506075277.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15604332117 + ... + 15604337067.

It is an arithmetic number, because the mean of its divisors is an integer number (197310815744).

Almost surely, 2^{77257060564992} 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 77257060564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142063787335680).

77257060564992 is an abundant number, since it is smaller than the sum of its proper divisors (206870514106368).

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

77257060564992 is a wasteful number, since it uses less digits than its factorization.

77257060564992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 69.

The spelling of 77257060564992 in words is "seventy-seven trillion, two hundred fifty-seven billion, sixty million, five hundred sixty-four thousand, nine hundred ninety-two".