61328582172 has 144 divisors (see below), whose sum is σ = 184623330528. Its totient is φ = 16919746560.

The previous prime is 61328582153. The next prime is 61328582207. The reversal of 61328582172 is 27128582316.

61328582172 is a `hidden beast` number, since 61 + 3 + 2 + 8 + 582 + 1 + 7 + 2 = 666.

It is a super-2 number, since 2×61328582172² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294208 + ... + 457400.

It is an arithmetic number, because the mean of its divisors is an integer number (1282106462).

Almost surely, 2^61328582172 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 61328582172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92311665264).

61328582172 is an abundant number, since it is smaller than the sum of its proper divisors (123294748356).

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

61328582172 is a wasteful number, since it uses less digits than its factorization.

61328582172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163300 (or 163295 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 61328582172 in words is "sixty-one billion, three hundred twenty-eight million, five hundred eighty-two thousand, one hundred seventy-two".