61090042607568 has 360 divisors, whose sum is σ = 190748387321856. Its totient is φ = 18142883781120.

The previous prime is 61090042607563. The next prime is 61090042607609. The reversal of 61090042607568 is 86570624009016.

61090042607568 is a `hidden beast` number, since 6 + 1 + 0 + 90 + 0 + 426 + 0 + 75 + 68 = 666.

It is a super-3 number, since 3×61090042607568³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61090042607563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 688969605 + ... + 689058267.

Almost surely, 2^{61090042607568} 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 61090042607568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95374193660928).

61090042607568 is an abundant number, since it is smaller than the sum of its proper divisors (129658344714288).

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

61090042607568 is a wasteful number, since it uses less digits than its factorization.

61090042607568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89135 (or 89095 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 61090042607568 in words is "sixty-one trillion, ninety billion, forty-two million, six hundred seven thousand, five hundred sixty-eight".