8300225738420 has 192 divisors, whose sum is σ = 22161258104832. Its totient is φ = 2536397760000.

The previous prime is 8300225738401. The next prime is 8300225738489. The reversal of 8300225738420 is 248375220038.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 16496570 + ... + 16992270.

It is an arithmetic number, because the mean of its divisors is an integer number (115423219296).

Almost surely, 2^{8300225738420} 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 8300225738420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080629052416).

8300225738420 is an abundant number, since it is smaller than the sum of its proper divisors (13861032366412).

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

8300225738420 is a wasteful number, since it uses less digits than its factorization.

8300225738420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495942 (or 495940 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 8300225738420 in words is "eight trillion, three hundred billion, two hundred twenty-five million, seven hundred thirty-eight thousand, four hundred twenty".