61273876435200 has 2592 divisors, whose sum is σ = 266858801943552. Its totient is φ = 13209993216000.

The previous prime is 61273876435193. The next prime is 61273876435273. The reversal of 61273876435200 is 253467837216.

It is a happy number.

61273876435200 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 3 + 8 + 76 + 43 + 520 + 0 = 666.

61273876435200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 80943033222 + ... + 80943033978.

Almost surely, 2^{61273876435200} is an apocalyptic number.

61273876435200 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 61273876435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429400971776).

61273876435200 is an abundant number, since it is smaller than the sum of its proper divisors (205584925508352).

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

61273876435200 is a wasteful number, since it uses less digits than its factorization.

61273876435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 61273876435200 in words is "sixty-one trillion, two hundred seventy-three billion, eight hundred seventy-six million, four hundred thirty-five thousand, two hundred".