80961246727200 has 2304 divisors, whose sum is σ = 365880582144000. Its totient is φ = 16865967329280.

The previous prime is 80961246727159. The next prime is 80961246727201. The reversal of 80961246727200 is 272764216908.

80961246727200 is a `hidden beast` number, since 80 + 9 + 61 + 2 + 467 + 27 + 20 + 0 = 666.

It is a super-2 number, since 2×80961246727200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (80961246727201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7966269319 + ... + 7966279481.

It is an arithmetic number, because the mean of its divisors is an integer number (158802336000).

Almost surely, 2^{80961246727200} is an apocalyptic number.

80961246727200 is a gapful number since it is divisible by the number (80) 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 80961246727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182940291072000).

80961246727200 is an abundant number, since it is smaller than the sum of its proper divisors (284919335416800).

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

80961246727200 is a wasteful number, since it uses less digits than its factorization.

80961246727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 80961246727200 in words is "eighty trillion, nine hundred sixty-one billion, two hundred forty-six million, seven hundred twenty-seven thousand, two hundred".