61162120260 has 288 divisors, whose sum is σ = 205604904960. Its totient is φ = 14638288896.

The previous prime is 61162120207. The next prime is 61162120291. The reversal of 61162120260 is 6202126116.

61162120260 is a `hidden beast` number, since 6 + 11 + 621 + 2 + 0 + 26 + 0 = 666.

61162120260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26954406 + ... + 26956674.

It is an arithmetic number, because the mean of its divisors is an integer number (713905920).

Almost surely, 2^61162120260 is an apocalyptic number.

61162120260 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 61162120260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102802452480).

61162120260 is an abundant number, since it is smaller than the sum of its proper divisors (144442784700).

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

61162120260 is a wasteful number, since it uses less digits than its factorization.

61162120260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 61162120260 its reverse (6202126116), we get a palindrome (67364246376).

The spelling of 61162120260 in words is "sixty-one billion, one hundred sixty-two million, one hundred twenty thousand, two hundred sixty".