61858725060 has 192 divisors, whose sum is σ = 192358188288. Its totient is φ = 14726400000.

The previous prime is 61858725017. The next prime is 61858725077. The reversal of 61858725060 is 6052785816.

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 63 ways as a sum of consecutive naturals, for example, 47546410 + ... + 47547710.

It is an arithmetic number, because the mean of its divisors is an integer number (1001865564).

Almost surely, 2^61858725060 is an apocalyptic number.

61858725060 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 61858725060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96179094144).

61858725060 is an abundant number, since it is smaller than the sum of its proper divisors (130499463228).

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

61858725060 is a wasteful number, since it uses less digits than its factorization.

61858725060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 61858725060 in words is "sixty-one billion, eight hundred fifty-eight million, seven hundred twenty-five thousand, sixty".