61765806258 has 80 divisors (see below), whose sum is σ = 149120516160. Its totient is φ = 18995541984.

The previous prime is 61765806241. The next prime is 61765806259. The reversal of 61765806258 is 85260856716.

61765806258 is a `hidden beast` number, since 6 + 1 + 7 + 6 + 5 + 8 + 0 + 625 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61765806259) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5172691 + ... + 5184617.

It is an arithmetic number, because the mean of its divisors is an integer number (1864006452).

Almost surely, 2^61765806258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61765806258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74560258080).

61765806258 is an abundant number, since it is smaller than the sum of its proper divisors (87354709902).

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

61765806258 is a wasteful number, since it uses less digits than its factorization.

61765806258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14404 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 61765806258 in words is "sixty-one billion, seven hundred sixty-five million, eight hundred six thousand, two hundred fifty-eight".