8552279520 has 432 divisors, whose sum is σ = 31087536480. Its totient is φ = 2140452864.

The previous prime is 8552279513. The next prime is 8552279557. The reversal of 8552279520 is 259722558.

8552279520 is a `hidden beast` number, since 8 + 5 + 52 + 2 + 79 + 520 = 666.

It is a super-2 number, since 2×8552279520² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 78461226 + ... + 78461334.

It is an arithmetic number, because the mean of its divisors is an integer number (71961890).

Almost surely, 2^8552279520 is an apocalyptic number.

8552279520 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 8552279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543768240).

8552279520 is an abundant number, since it is smaller than the sum of its proper divisors (22535256960).

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

8552279520 is a wasteful number, since it uses less digits than its factorization.

8552279520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 8552279520 is about 92478.5354555315. The cubic root of 8552279520 is about 2045.0030603151.

The spelling of 8552279520 in words is "eight billion, five hundred fifty-two million, two hundred seventy-nine thousand, five hundred twenty".