61650075200 has 252 divisors, whose sum is σ = 185756793840. Its totient is φ = 20024202240.

The previous prime is 61650075103. The next prime is 61650075217. The reversal of 61650075200 is 257005616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 35 ways as a sum of consecutive naturals, for example, 1468907 + ... + 1510293.

Almost surely, 2^61650075200 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 61650075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92878396920).

61650075200 is an abundant number, since it is smaller than the sum of its proper divisors (124106718640).

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

61650075200 is a wasteful number, since it uses less digits than its factorization.

61650075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41442 (or 41420 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 61650075200 in words is "sixty-one billion, six hundred fifty million, seventy-five thousand, two hundred".