61282267200 has 2016 divisors, whose sum is σ = 297160980480. Its totient is φ = 12043468800.

The previous prime is 61282267187. The next prime is 61282267219. The reversal of 61282267200 is 276228216.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 688564756 + ... + 688564844.

It is an arithmetic number, because the mean of its divisors is an integer number (147401280).

Almost surely, 2^61282267200 is an apocalyptic number.

61282267200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61282267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148580490240).

61282267200 is an abundant number, since it is smaller than the sum of its proper divisors (235878713280).

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

61282267200 is a wasteful number, since it uses less digits than its factorization.

61282267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61282267200 in words is "sixty-one billion, two hundred eighty-two million, two hundred sixty-seven thousand, two hundred".