77161271560 has 64 divisors (see below), whose sum is σ = 176140350000. Its totient is φ = 30415896576.

The previous prime is 77161271549. The next prime is 77161271591. The reversal of 77161271560 is 6517216177.

It can be written as a sum of positive squares in 8 ways, for example, as 11304367684 + 65856903876 = 106322^2 + 256626^2 .

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, 3636502 + ... + 3657658.

Almost surely, 2^77161271560 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 77161271560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88070175000).

77161271560 is an abundant number, since it is smaller than the sum of its proper divisors (98979078440).

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

77161271560 is a wasteful number, since it uses less digits than its factorization.

77161271560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22490 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 43.

The spelling of 77161271560 in words is "seventy-seven billion, one hundred sixty-one million, two hundred seventy-one thousand, five hundred sixty".