8540208172800 has 1512 divisors, whose sum is σ = 32499470369520. Its totient is φ = 2220377702400.

The previous prime is 8540208172799. The next prime is 8540208172817. The reversal of 8540208172800 is 82718020458.

It is a happy number.

8540208172800 is a `hidden beast` number, since 8 + 540 + 2 + 0 + 81 + 7 + 28 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54396230322 + ... + 54396230478.

It is an arithmetic number, because the mean of its divisors is an integer number (21494358710).

Almost surely, 2^{8540208172800} is an apocalyptic number.

8540208172800 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 8540208172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249735184760).

8540208172800 is an abundant number, since it is smaller than the sum of its proper divisors (23959262196720).

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

8540208172800 is a wasteful number, since it uses less digits than its factorization.

8540208172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 8540208172800 in words is "eight trillion, five hundred forty billion, two hundred eight million, one hundred seventy-two thousand, eight hundred".