8513210160 has 400 divisors, whose sum is σ = 36393462336. Its totient is φ = 1796069376.

The previous prime is 8513210149. The next prime is 8513210161. The reversal of 8513210160 is 610123158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8513210161) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 582462 + ... + 596898.

Almost surely, 2^8513210160 is an apocalyptic number.

8513210160 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 8513210160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196731168).

8513210160 is an abundant number, since it is smaller than the sum of its proper divisors (27880252176).

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

8513210160 is a wasteful number, since it uses less digits than its factorization.

8513210160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482 (or 14467 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8513210160 is about 92267.0589105343. The cubic root of 8513210160 is about 2041.8842452409.

The spelling of 8513210160 in words is "eight billion, five hundred thirteen million, two hundred ten thousand, one hundred sixty".