61383072200 has 36 divisors (see below), whose sum is σ = 142723789665. Its totient is φ = 24551827360.

The previous prime is 61383072199. The next prime is 61383072217. The reversal of 61383072200 is 227038316.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 60155410756 + 1227661444 = 245266^2 + 35038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=175190.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3495041 + ... + 3512559.

Almost surely, 2^61383072200 is an apocalyptic number.

It is an amenable number.

61383072200 is an abundant number, since it is smaller than the sum of its proper divisors (81340717465).

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

61383072200 is an frugal number, since it uses more digits than its factorization.

61383072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35054 (or 17526 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Multiplying 61383072200 by its sum of digits (32), we get a square (1964258310400 = 1401520²).

The spelling of 61383072200 in words is "sixty-one billion, three hundred eighty-three million, seventy-two thousand, two hundred".