61047207200 has 288 divisors, whose sum is σ = 178976044800. Its totient is φ = 19879833600.

The previous prime is 61047207191. The next prime is 61047207251. The reversal of 61047207200 is 270274016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19189610 + ... + 19192790.

It is an arithmetic number, because the mean of its divisors is an integer number (621444600).

Almost surely, 2^61047207200 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 61047207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89488022400).

61047207200 is an abundant number, since it is smaller than the sum of its proper divisors (117928837600).

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

61047207200 is a wasteful number, since it uses less digits than its factorization.

61047207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The spelling of 61047207200 in words is "sixty-one billion, forty-seven million, two hundred seven thousand, two hundred".