8225493950400 has 84 divisors (see below), whose sum is σ = 26986474751352. Its totient is φ = 2193465052160.

The previous prime is 8225493950393. The next prime is 8225493950447. The reversal of 8225493950400 is 40593945228.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856817487 + ... + 856827086.

Almost surely, 2^{8225493950400} is an apocalyptic number.

8225493950400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8225493950400 is an abundant number, since it is smaller than the sum of its proper divisors (18760980800952).

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

8225493950400 is a wasteful number, since it uses less digits than its factorization.

8225493950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713644598 (or 1713644583 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 8225493950400 in words is "eight trillion, two hundred twenty-five billion, four hundred ninety-three million, nine hundred fifty thousand, four hundred".