61143808680 has 192 divisors, whose sum is σ = 200148624000. Its totient is φ = 16187973120.

The previous prime is 61143808673. The next prime is 61143808823. The reversal of 61143808680 is 8680834116.

It is a happy number.

61143808680 is a `hidden beast` number, since 6 + 114 + 380 + 86 + 80 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64977010 + ... + 64977950.

It is an arithmetic number, because the mean of its divisors is an integer number (1042440750).

Almost surely, 2^61143808680 is an apocalyptic number.

61143808680 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 61143808680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100074312000).

61143808680 is an abundant number, since it is smaller than the sum of its proper divisors (139004815320).

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

61143808680 is a wasteful number, since it uses less digits than its factorization.

61143808680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 61143808680 in words is "sixty-one billion, one hundred forty-three million, eight hundred eight thousand, six hundred eighty".