8016022560 has 768 divisors, whose sum is σ = 33164328960. Its totient is φ = 1581465600.

The previous prime is 8016022517. The next prime is 8016022601. The reversal of 8016022560 is 652206108.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79366510 + ... + 79366610.

It is an arithmetic number, because the mean of its divisors is an integer number (43182720).

Almost surely, 2^8016022560 is an apocalyptic number.

8016022560 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 8016022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582164480).

8016022560 is an abundant number, since it is smaller than the sum of its proper divisors (25148306400).

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

8016022560 is a wasteful number, since it uses less digits than its factorization.

8016022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8016022560 is about 89532.2431306175. The cubic root of 8016022560 is about 2001.3343229265.

Adding to 8016022560 its reverse (652206108), we get a palindrome (8668228668).

The spelling of 8016022560 in words is "eight billion, sixteen million, twenty-two thousand, five hundred sixty".