8540232866400 has 576 divisors, whose sum is σ = 29973954044160. Its totient is φ = 2104187289600.

The previous prime is 8540232866359. The next prime is 8540232866401. The reversal of 8540232866400 is 46682320458.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8540232866400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8540232866401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2120741187 + ... + 2120745213.

It is an arithmetic number, because the mean of its divisors is an integer number (52038114660).

Almost surely, 2^{8540232866400} is an apocalyptic number.

8540232866400 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 8540232866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986977022080).

8540232866400 is an abundant number, since it is smaller than the sum of its proper divisors (21433721177760).

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

8540232866400 is a wasteful number, since it uses less digits than its factorization.

8540232866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 8540232866400 in words is "eight trillion, five hundred forty billion, two hundred thirty-two million, eight hundred sixty-six thousand, four hundred".