61785580896 has 192 divisors, whose sum is σ = 194535613440. Its totient is φ = 18965352960.

The previous prime is 61785580841. The next prime is 61785580903. The reversal of 61785580896 is 69808558716.

61785580896 is a `hidden beast` number, since 6 + 1 + 78 + 558 + 0 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834611 + ... + 4847373.

It is an arithmetic number, because the mean of its divisors is an integer number (1013206320).

Almost surely, 2^61785580896 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 61785580896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97267806720).

61785580896 is an abundant number, since it is smaller than the sum of its proper divisors (132750032544).

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

61785580896 is a wasteful number, since it uses less digits than its factorization.

61785580896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 61785580896 in words is "sixty-one billion, seven hundred eighty-five million, five hundred eighty thousand, eight hundred ninety-six".