8045806045200 has 480 divisors, whose sum is σ = 32251741089792. Its totient is φ = 1665681408000.

The previous prime is 8045806045181. The next prime is 8045806045213. The reversal of 8045806045200 is 25406085408.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24879744 + ... + 25201056.

Almost surely, 2^{8045806045200} is an apocalyptic number.

8045806045200 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 8045806045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125870544896).

8045806045200 is an abundant number, since it is smaller than the sum of its proper divisors (24205935044592).

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

8045806045200 is a wasteful number, since it uses less digits than its factorization.

8045806045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321623 (or 321612 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 8045806045200 in words is "eight trillion, forty-five billion, eight hundred six million, forty-five thousand, two hundred".