61010345200 has 480 divisors, whose sum is σ = 183353264640. Its totient is φ = 19043942400.

The previous prime is 61010345183. The next prime is 61010345239. The reversal of 61010345200 is 254301016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181039432 + ... + 181039768.

It is an arithmetic number, because the mean of its divisors is an integer number (381985968).

Almost surely, 2^61010345200 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 61010345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91676632320).

61010345200 is an abundant number, since it is smaller than the sum of its proper divisors (122342919440).

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

61010345200 is a wasteful number, since it uses less digits than its factorization.

61010345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 61010345200 its reverse (254301016), we get a palindrome (61264646216).

The spelling of 61010345200 in words is "sixty-one billion, ten million, three hundred forty-five thousand, two hundred".