61100200224 has 288 divisors, whose sum is σ = 208039104000. Its totient is φ = 16640612352.

The previous prime is 61100200223. The next prime is 61100200241. The reversal of 61100200224 is 42200200116.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61100200197 and 61100200206.

It is not an unprimeable number, because it can be changed into a prime (61100200223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612042 + ... + 4625270.

It is an arithmetic number, because the mean of its divisors is an integer number (722358000).

Almost surely, 2^61100200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61100200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552000).

61100200224 is an abundant number, since it is smaller than the sum of its proper divisors (146938903776).

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

61100200224 is a wasteful number, since it uses less digits than its factorization.

61100200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 61100200224 in words is "sixty-one billion, one hundred million, two hundred thousand, two hundred twenty-four".