80314575667200 has 2700 divisors, whose sum is σ = 349730233332480. Its totient is φ = 18166248898560.

The previous prime is 80314575667141. The next prime is 80314575667223. The reversal of 80314575667200 is 276657541308.

80314575667200 is a `hidden beast` number, since 8 + 0 + 3 + 1 + 4 + 5 + 7 + 566 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 206464204606 + ... + 206464204994.

Almost surely, 2^{80314575667200} is an apocalyptic number.

80314575667200 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 80314575667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174865116666240).

80314575667200 is an abundant number, since it is smaller than the sum of its proper divisors (269415657665280).

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

80314575667200 is a wasteful number, since it uses less digits than its factorization.

80314575667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 80314575667200 in words is "eighty trillion, three hundred fourteen billion, five hundred seventy-five million, six hundred sixty-seven thousand, two hundred".