61576551340800 has 432 divisors, whose sum is σ = 215472566789760. Its totient is φ = 15442620088320.

The previous prime is 61576551340771. The next prime is 61576551340813. The reversal of 61576551340800 is 804315567516.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49361559 + ... + 50593641.

Almost surely, 2^{61576551340800} is an apocalyptic number.

61576551340800 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 61576551340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107736283394880).

61576551340800 is an abundant number, since it is smaller than the sum of its proper divisors (153896015448960).

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

61576551340800 is a wasteful number, since it uses less digits than its factorization.

61576551340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232268 (or 1232249 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 61576551340800 in words is "sixty-one trillion, five hundred seventy-six billion, five hundred fifty-one million, three hundred forty thousand, eight hundred".