61582100328 has 192 divisors, whose sum is σ = 193226342400. Its totient is φ = 17354217600.

The previous prime is 61582100323. The next prime is 61582100341. The reversal of 61582100328 is 82300128516.

It is a happy number.

61582100328 is a `hidden beast` number, since 61 + 582 + 10 + 0 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61582100292 and 61582100301.

It is not an unprimeable number, because it can be changed into a prime (61582100323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48147993 + ... + 48149271.

It is an arithmetic number, because the mean of its divisors is an integer number (1006387200).

Almost surely, 2^61582100328 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 61582100328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96613171200).

61582100328 is an abundant number, since it is smaller than the sum of its proper divisors (131644242072).

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

61582100328 is a wasteful number, since it uses less digits than its factorization.

61582100328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 61582100328 in words is "sixty-one billion, five hundred eighty-two million, one hundred thousand, three hundred twenty-eight".