8045827891200 has 2688 divisors, whose sum is σ = 35385015214080. Its totient is φ = 1769472000000.

The previous prime is 8045827891181. The next prime is 8045827891249. The reversal of 8045827891200 is 21987285408.

8045827891200 is a `hidden beast` number, since 80 + 4 + 5 + 8 + 278 + 91 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32055091075 + ... + 32055091325.

It is an arithmetic number, because the mean of its divisors is an integer number (13164068160).

Almost surely, 2^{8045827891200} is an apocalyptic number.

8045827891200 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 8045827891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692507607040).

8045827891200 is an abundant number, since it is smaller than the sum of its proper divisors (27339187322880).

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

8045827891200 is a wasteful number, since it uses less digits than its factorization.

8045827891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 8045827891200 in words is "eight trillion, forty-five billion, eight hundred twenty-seven million, eight hundred ninety-one thousand, two hundred".