8526228480 has 1056 divisors, whose sum is σ = 38626398720. Its totient is φ = 1751777280.

The previous prime is 8526228461. The next prime is 8526228481. The reversal of 8526228480 is 848226258.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×8526228480² (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 not an unprimeable number, because it can be changed into a prime (8526228481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95800276 + ... + 95800364.

Almost surely, 2^8526228480 is an apocalyptic number.

8526228480 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 8526228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313199360).

8526228480 is an abundant number, since it is smaller than the sum of its proper divisors (30100170240).

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

8526228480 is a wasteful number, since it uses less digits than its factorization.

8526228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8526228480 is about 92337.5789156289. The cubic root of 8526228480 is about 2042.9245251475.

The spelling of 8526228480 in words is "eight billion, five hundred twenty-six million, two hundred twenty-eight thousand, four hundred eighty".