61533041160 has 128 divisors (see below), whose sum is σ = 186577735680. Its totient is φ = 16233861888.

The previous prime is 61533041123. The next prime is 61533041177. The reversal of 61533041160 is 6114033516.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 4354827 + ... + 4368933.

It is an arithmetic number, because the mean of its divisors is an integer number (1457638560).

Almost surely, 2^61533041160 is an apocalyptic number.

61533041160 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 61533041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93288867840).

61533041160 is an abundant number, since it is smaller than the sum of its proper divisors (125044694520).

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

61533041160 is a wasteful number, since it uses less digits than its factorization.

61533041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507 (or 14503 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 61533041160 its reverse (6114033516), we get a palindrome (67647074676).

The spelling of 61533041160 in words is "sixty-one billion, five hundred thirty-three million, forty-one thousand, one hundred sixty".