80851591800 has 576 divisors, whose sum is σ = 335833505280. Its totient is φ = 17675159040.

The previous prime is 80851591757. The next prime is 80851591871. The reversal of 80851591800 is 819515808.

80851591800 is a `hidden beast` number, since 8 + 0 + 8 + 51 + 591 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7819434 + ... + 7829766.

It is an arithmetic number, because the mean of its divisors is an integer number (583044280).

Almost surely, 2^80851591800 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 80851591800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167916752640).

80851591800 is an abundant number, since it is smaller than the sum of its proper divisors (254981913480).

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

80851591800 is a wasteful number, since it uses less digits than its factorization.

80851591800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10394 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 80851591800 in words is "eighty billion, eight hundred fifty-one million, five hundred ninety-one thousand, eight hundred".