61104602880 has 288 divisors, whose sum is σ = 217983769920. Its totient is φ = 16208363520.

The previous prime is 61104602879. The next prime is 61104602899. The reversal of 61104602880 is 8820640116.

61104602880 is a `hidden beast` number, since 6 + 110 + 460 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6665500 + ... + 6674660.

It is an arithmetic number, because the mean of its divisors is an integer number (756888090).

Almost surely, 2^61104602880 is an apocalyptic number.

61104602880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61104602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108991884960).

61104602880 is an abundant number, since it is smaller than the sum of its proper divisors (156879167040).

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

61104602880 is a wasteful number, since it uses less digits than its factorization.

61104602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 61104602880 in words is "sixty-one billion, one hundred four million, six hundred two thousand, eight hundred eighty".