8225902892160 has 512 divisors, whose sum is σ = 29275539955200. Its totient is φ = 2182898958336.

The previous prime is 8225902892147. The next prime is 8225902892173. The reversal of 8225902892160 is 612982095228.

It is a happy number.

8225902892160 is a `hidden beast` number, since 8 + 2 + 2 + 590 + 28 + 9 + 21 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8225902892147) and next prime (8225902892173).

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

It is a junction number, because it is equal to n+sod(n) for n = 8225902892097 and 8225902892106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4858772274 + ... + 4858773966.

It is an arithmetic number, because the mean of its divisors is an integer number (57178788975).

Almost surely, 2^{8225902892160} is an apocalyptic number.

8225902892160 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 8225902892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637769977600).

8225902892160 is an abundant number, since it is smaller than the sum of its proper divisors (21049637063040).

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

8225902892160 is a wasteful number, since it uses less digits than its factorization.

8225902892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 8225902892160 in words is "eight trillion, two hundred twenty-five billion, nine hundred two million, eight hundred ninety-two thousand, one hundred sixty".