80812614600 has 288 divisors, whose sum is σ = 283685176320. Its totient is φ = 21378712320.

The previous prime is 80812614599. The next prime is 80812614613. The reversal of 80812614600 is 641621808.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6165654 + ... + 6178746.

Almost surely, 2^80812614600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80812614600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141842588160).

80812614600 is an abundant number, since it is smaller than the sum of its proper divisors (202872561720).

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

80812614600 is a wasteful number, since it uses less digits than its factorization.

80812614600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251 (or 13230 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80812614600 in words is "eighty billion, eight hundred twelve million, six hundred fourteen thousand, six hundred".