61058920104 has 384 divisors, whose sum is σ = 210863278080. Its totient is φ = 15527116800.

The previous prime is 61058920103. The next prime is 61058920121. The reversal of 61058920104 is 40102985016.

61058920104 is a `hidden beast` number, since 61 + 0 + 589 + 2 + 0 + 10 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61058920103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 105821064 + ... + 105821640.

It is an arithmetic number, because the mean of its divisors is an integer number (549123120).

Almost surely, 2^61058920104 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 61058920104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105431639040).

61058920104 is an abundant number, since it is smaller than the sum of its proper divisors (149804357976).

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

61058920104 is a wasteful number, since it uses less digits than its factorization.

61058920104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61058920104 in words is "sixty-one billion, fifty-eight million, nine hundred twenty thousand, one hundred four".