61061888160 has 576 divisors, whose sum is σ = 260698314240. Its totient is φ = 12670525440.

The previous prime is 61061888113. The next prime is 61061888203. The reversal of 61061888160 is 6188816016.

61061888160 is a `hidden beast` number, since 6 + 10 + 618 + 8 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 7989621 + ... + 7997259.

It is an arithmetic number, because the mean of its divisors is an integer number (452601240).

Almost surely, 2^61061888160 is an apocalyptic number.

61061888160 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 61061888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130349157120).

61061888160 is an abundant number, since it is smaller than the sum of its proper divisors (199636426080).

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

61061888160 is a wasteful number, since it uses less digits than its factorization.

61061888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 61061888160 in words is "sixty-one billion, sixty-one million, eight hundred eighty-eight thousand, one hundred sixty".