61765577055 has 256 divisors, whose sum is σ = 144300441600. Its totient is φ = 24337635840.

The previous prime is 61765577009. The next prime is 61765577059. The reversal of 61765577055 is 55077556716.

It is a happy number.

61765577055 is a `hidden beast` number, since 6 + 1 + 7 + 65 + 577 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 61765577055 - 2¹⁶ = 61765511519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61765576992 and 61765577010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61765577059) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16570602 + ... + 16574328.

It is an arithmetic number, because the mean of its divisors is an integer number (563673600).

Almost surely, 2^61765577055 is an apocalyptic number.

61765577055 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61765577055 is an abundant number, since it is smaller than the sum of its proper divisors (82534864545).

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

61765577055 is a wasteful number, since it uses less digits than its factorization.

61765577055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 7717500, while the sum is 54.

The spelling of 61765577055 in words is "sixty-one billion, seven hundred sixty-five million, five hundred seventy-seven thousand, fifty-five".