8513366400 has 864 divisors, whose sum is σ = 38269686000. Its totient is φ = 1763942400.

The previous prime is 8513366383. The next prime is 8513366489. The reversal of 8513366400 is 46633158.

8513366400 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 3 + 6 + 640 + 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 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 107 ways as a sum of consecutive naturals, for example, 24393426 + ... + 24393774.

Almost surely, 2^8513366400 is an apocalyptic number.

8513366400 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 8513366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19134843000).

8513366400 is an abundant number, since it is smaller than the sum of its proper divisors (29756319600).

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

8513366400 is a wasteful number, since it uses less digits than its factorization.

8513366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8513366400 is about 92267.9055793508. The cubic root of 8513366400 is about 2041.8967364962.

Adding to 8513366400 its reverse (46633158), we get a palindrome (8559999558).

The spelling of 8513366400 in words is "eight billion, five hundred thirteen million, three hundred sixty-six thousand, four hundred".