8529920000 has 450 divisors, whose sum is σ = 26256393702. Its totient is φ = 2752512000.

The previous prime is 8529919999. The next prime is 8529920027. The reversal of 8529920000 is 299258.

It can be written as a sum of positive squares in 5 ways, for example, as 2170814464 + 6359105536 = 46592^2 + 79744^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 501759992 + ... + 501760008.

Almost surely, 2^8529920000 is an apocalyptic number.

8529920000 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 8529920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128196851).

8529920000 is an abundant number, since it is smaller than the sum of its proper divisors (17726473702).

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

8529920000 is an frugal number, since it uses more digits than its factorization.

8529920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 8529920000 is about 92357.5660138356. The cubic root of 8529920000 is about 2043.2193178034.

The spelling of 8529920000 in words is "eight billion, five hundred twenty-nine million, nine hundred twenty thousand".