61305465120 has 192 divisors, whose sum is σ = 198133568640. Its totient is φ = 15927984128.

The previous prime is 61305465101. The next prime is 61305465187. The reversal of 61305465120 is 2156450316.

It is a super-2 number, since 2×61305465120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190582 + ... + 3209738.

It is an arithmetic number, because the mean of its divisors is an integer number (1031945670).

Almost surely, 2^61305465120 is an apocalyptic number.

61305465120 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 61305465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066784320).

61305465120 is an abundant number, since it is smaller than the sum of its proper divisors (136828103520).

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

61305465120 is a wasteful number, since it uses less digits than its factorization.

61305465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19347 (or 19339 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 61305465120 in words is "sixty-one billion, three hundred five million, four hundred sixty-five thousand, one hundred twenty".