8820540146208 has 288 divisors, whose sum is σ = 27061795994688. Its totient is φ = 2508226560000.

The previous prime is 8820540146167. The next prime is 8820540146263. The reversal of 8820540146208 is 8026410450288.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551499616 + ... + 2551503072.

It is an arithmetic number, because the mean of its divisors is an integer number (93964569426).

Almost surely, 2^{8820540146208} 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 8820540146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530897997344).

8820540146208 is an abundant number, since it is smaller than the sum of its proper divisors (18241255848480).

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

8820540146208 is a wasteful number, since it uses less digits than its factorization.

8820540146208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 8820540146208 in words is "eight trillion, eight hundred twenty billion, five hundred forty million, one hundred forty-six thousand, two hundred eight".