61805103360 has 864 divisors, whose sum is σ = 269877267072. Its totient is φ = 11849564160.

The previous prime is 61805103337. The next prime is 61805103379. The reversal of 61805103360 is 6330150816.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 26905732 + ... + 26908028.

It is an arithmetic number, because the mean of its divisors is an integer number (312357948).

Almost surely, 2^61805103360 is an apocalyptic number.

61805103360 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 61805103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134938633536).

61805103360 is an abundant number, since it is smaller than the sum of its proper divisors (208072163712).

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

61805103360 is a wasteful number, since it uses less digits than its factorization.

61805103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 61805103360 in words is "sixty-one billion, eight hundred five million, one hundred three thousand, three hundred sixty".