61571227804128 has 432 divisors, whose sum is σ = 207572381714880. Its totient is φ = 17258418358272.

The previous prime is 61571227804109. The next prime is 61571227804147. The reversal of 61571227804128 is 82140872217516.

61571227804128 is a `hidden beast` number, since 6 + 1 + 571 + 2 + 2 + 7 + 8 + 0 + 41 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (61571227804109) and next prime (61571227804147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174855250 + ... + 175207022.

It is an arithmetic number, because the mean of its divisors is an integer number (480491624340).

Almost surely, 2^{61571227804128} 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 61571227804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103786190857440).

61571227804128 is an abundant number, since it is smaller than the sum of its proper divisors (146001153910752).

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

61571227804128 is a wasteful number, since it uses less digits than its factorization.

61571227804128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352039 (or 352021 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 61571227804128 in words is "sixty-one trillion, five hundred seventy-one billion, two hundred twenty-seven million, eight hundred four thousand, one hundred twenty-eight".