9159252480 has 960 divisors, whose sum is σ = 39577824000. Its totient is φ = 1950842880.

The previous prime is 9159252449. The next prime is 9159252491. The reversal of 9159252480 is 842529519.

It is a happy number.

9159252480 is a `hidden beast` number, since 9 + 1 + 592 + 52 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150151650 + ... + 150151710.

It is an arithmetic number, because the mean of its divisors is an integer number (41226900).

Almost surely, 2^9159252480 is an apocalyptic number.

9159252480 is a gapful number since it is divisible by the number (90) 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 9159252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912000).

9159252480 is an abundant number, since it is smaller than the sum of its proper divisors (30418571520).

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

9159252480 is a wasteful number, since it uses less digits than its factorization.

9159252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 9159252480 is about 95703.9836161484. The cubic root of 9159252480 is about 2092.2809952232.

The spelling of 9159252480 in words is "nine billion, one hundred fifty-nine million, two hundred fifty-two thousand, four hundred eighty".