8314252560 has 480 divisors, whose sum is σ = 32068483200. Its totient is φ = 1974067200.

The previous prime is 8314252553. The next prime is 8314252561. The reversal of 8314252560 is 652524138.

8314252560 is a `hidden beast` number, since 8 + 3 + 1 + 42 + 52 + 560 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (8314252561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11860210 + ... + 11860910.

It is an arithmetic number, because the mean of its divisors is an integer number (66809340).

Almost surely, 2^8314252560 is an apocalyptic number.

8314252560 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 8314252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034241600).

8314252560 is an abundant number, since it is smaller than the sum of its proper divisors (23754230640).

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

8314252560 is a wasteful number, since it uses less digits than its factorization.

8314252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8314252560 is about 91182.5233254707. The cubic root of 8314252560 is about 2025.8521077802.

Adding to 8314252560 its reverse (652524138), we get a palindrome (8966776698).

The spelling of 8314252560 in words is "eight billion, three hundred fourteen million, two hundred fifty-two thousand, five hundred sixty".