8725990560 has 288 divisors, whose sum is σ = 32095611072. Its totient is φ = 1986969600.

The previous prime is 8725990523. The next prime is 8725990621. The reversal of 8725990560 is 650995278.

It is a happy number.

It is a super-2 number, since 2×8725990560² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8302035 + ... + 8303085.

It is an arithmetic number, because the mean of its divisors is an integer number (111443094).

Almost surely, 2^8725990560 is an apocalyptic number.

8725990560 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 8725990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047805536).

8725990560 is an abundant number, since it is smaller than the sum of its proper divisors (23369620512).

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

8725990560 is a wasteful number, since it uses less digits than its factorization.

8725990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 8725990560 is about 93413.0106569743. The cubic root of 8725990560 is about 2058.7561662038.

The spelling of 8725990560 in words is "eight billion, seven hundred twenty-five million, nine hundred ninety thousand, five hundred sixty".