61143635160 has 512 divisors, whose sum is σ = 221734195200. Its totient is φ = 14944849920.

The previous prime is 61143635131. The next prime is 61143635173. The reversal of 61143635160 is 6153634116.

61143635160 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 3 + 635 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 65254212 + ... + 65255148.

It is an arithmetic number, because the mean of its divisors is an integer number (433074600).

Almost surely, 2^61143635160 is an apocalyptic number.

61143635160 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 61143635160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110867097600).

61143635160 is an abundant number, since it is smaller than the sum of its proper divisors (160590560040).

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

61143635160 is a wasteful number, since it uses less digits than its factorization.

61143635160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61143635160 in words is "sixty-one billion, one hundred forty-three million, six hundred thirty-five thousand, one hundred sixty".