8536516560 has 640 divisors, whose sum is σ = 35772710400. Its totient is φ = 1842462720.

The previous prime is 8536516553. The next prime is 8536516577. The reversal of 8536516560 is 656156358.

8536516560 is a `hidden beast` number, since 8 + 5 + 36 + 51 + 6 + 560 = 666.

It is a super-2 number, since 2×8536516560² (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8957044 + ... + 8957996.

It is an arithmetic number, because the mean of its divisors is an integer number (55894860).

Almost surely, 2^8536516560 is an apocalyptic number.

8536516560 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 8536516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886355200).

8536516560 is an abundant number, since it is smaller than the sum of its proper divisors (27236193840).

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

8536516560 is a wasteful number, since it uses less digits than its factorization.

8536516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 8536516560 is about 92393.2711835662. The cubic root of 8536516560 is about 2043.7458856916.

The spelling of 8536516560 in words is "eight billion, five hundred thirty-six million, five hundred sixteen thousand, five hundred sixty".