8718521400 has 384 divisors, whose sum is σ = 32257310400. Its totient is φ = 2156544000.

The previous prime is 8718521389. The next prime is 8718521407. The reversal of 8718521400 is 41258178.

8718521400 is a `hidden beast` number, since 87 + 18 + 521 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8718521407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6700750 + ... + 6702050.

Almost surely, 2^8718521400 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 8718521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128655200).

8718521400 is an abundant number, since it is smaller than the sum of its proper divisors (23538789000).

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

8718521400 is a wasteful number, since it uses less digits than its factorization.

8718521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 8718521400 is about 93373.0228706343. The cubic root of 8718521400 is about 2058.1685894070.

Adding to 8718521400 its reverse (41258178), we get a palindrome (8759779578).

The spelling of 8718521400 in words is "eight billion, seven hundred eighteen million, five hundred twenty-one thousand, four hundred".