61955019200 has 168 divisors, whose sum is σ = 156720064512. Its totient is φ = 24092974080.

The previous prime is 61955019199. The next prime is 61955019221. The reversal of 61955019200 is 291055916.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15615617 + ... + 15619583.

Almost surely, 2^61955019200 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 61955019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78360032256).

61955019200 is an abundant number, since it is smaller than the sum of its proper divisors (94765045312).

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

61955019200 is a wasteful number, since it uses less digits than its factorization.

61955019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 38.

The spelling of 61955019200 in words is "sixty-one billion, nine hundred fifty-five million, nineteen thousand, two hundred".