8611778560 has 416 divisors, whose sum is σ = 26571866112. Its totient is φ = 2601123840.

The previous prime is 8611778509. The next prime is 8611778563. The reversal of 8611778560 is 658771168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8611778563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67809217 + ... + 67809343.

Almost surely, 2^8611778560 is an apocalyptic number.

8611778560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8611778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285933056).

8611778560 is an abundant number, since it is smaller than the sum of its proper divisors (17960087552).

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

8611778560 is a wasteful number, since it uses less digits than its factorization.

8611778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The square root of 8611778560 is about 92799.6689649268. The cubic root of 8611778560 is about 2049.7345331439.

The spelling of 8611778560 in words is "eight billion, six hundred eleven million, seven hundred seventy-eight thousand, five hundred sixty".