61184566080 has 896 divisors, whose sum is σ = 256090521600. Its totient is φ = 13586227200.

The previous prime is 61184566073. The next prime is 61184566109. The reversal of 61184566080 is 8066548116.

61184566080 is a `hidden beast` number, since 6 + 1 + 1 + 8 + 4 + 566 + 0 + 80 = 666.

It is a super-2 number, since 2×61184566080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 55978014 + ... + 55979106.

Almost surely, 2^61184566080 is an apocalyptic number.

61184566080 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 61184566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128045260800).

61184566080 is an abundant number, since it is smaller than the sum of its proper divisors (194905955520).

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

61184566080 is a wasteful number, since it uses less digits than its factorization.

61184566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 61184 and 566080, that added together give a square (627264 = 792²).

The spelling of 61184566080 in words is "sixty-one billion, one hundred eighty-four million, five hundred sixty-six thousand, eighty".