80541253627200 has 672 divisors, whose sum is σ = 327235263638400. Its totient is φ = 19150362869760.

The previous prime is 80541253627199. The next prime is 80541253627207. The reversal of 80541253627200 is 272635214508.

80541253627200 is a `hidden beast` number, since 8 + 0 + 5 + 4 + 12 + 5 + 3 + 627 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80541253627207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11067562 + ... + 16839638.

Almost surely, 2^{80541253627200} is an apocalyptic number.

80541253627200 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 80541253627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163617631819200).

80541253627200 is an abundant number, since it is smaller than the sum of its proper divisors (246694010011200).

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

80541253627200 is a wasteful number, since it uses less digits than its factorization.

80541253627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772144 (or 5772123 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 80541253627200 in words is "eighty trillion, five hundred forty-one billion, two hundred fifty-three million, six hundred twenty-seven thousand, two hundred".