61585625808 has 400 divisors, whose sum is σ = 212946370560. Its totient is φ = 16816004352.

The previous prime is 61585625779. The next prime is 61585625863. The reversal of 61585625808 is 80852658516.

61585625808 is a `hidden beast` number, since 6 + 1 + 5 + 8 + 5 + 625 + 8 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18332833 + ... + 18336191.

Almost surely, 2^61585625808 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 61585625808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106473185280).

61585625808 is an abundant number, since it is smaller than the sum of its proper divisors (151360744752).

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

61585625808 is a wasteful number, since it uses less digits than its factorization.

61585625808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 61585625808 in words is "sixty-one billion, five hundred eighty-five million, six hundred twenty-five thousand, eight hundred eight".