77148566560 has 96 divisors (see below), whose sum is σ = 196360718400. Its totient is φ = 28474457088.

The previous prime is 77148566531. The next prime is 77148566597. The reversal of 77148566560 is 6566584177.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6856299 + ... + 6867541.

It is an arithmetic number, because the mean of its divisors is an integer number (2045424150).

Almost surely, 2^77148566560 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 77148566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98180359200).

77148566560 is an abundant number, since it is smaller than the sum of its proper divisors (119212151840).

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

77148566560 is a wasteful number, since it uses less digits than its factorization.

77148566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570 (or 14562 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 77148566560 in words is "seventy-seven billion, one hundred forty-eight million, five hundred sixty-six thousand, five hundred sixty".