61111882728 has 160 divisors (see below), whose sum is σ = 188260047360. Its totient is φ = 18403459200.

The previous prime is 61111882709. The next prime is 61111882781. The reversal of 61111882728 is 82728811116.

61111882728 is a `hidden beast` number, since 611 + 1 + 1 + 8 + 8 + 2 + 7 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318753 + ... + 473103.

It is an arithmetic number, because the mean of its divisors is an integer number (1176625296).

Almost surely, 2^61111882728 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 61111882728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94130023680).

61111882728 is an abundant number, since it is smaller than the sum of its proper divisors (127148164632).

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

61111882728 is a wasteful number, since it uses less digits than its factorization.

61111882728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154429 (or 154416 counting only the distinct ones).

The product of its digits is 86016, while the sum is 45.

The spelling of 61111882728 in words is "sixty-one billion, one hundred eleven million, eight hundred eighty-two thousand, seven hundred twenty-eight".