8541953280 has 1152 divisors, whose sum is σ = 38428508160. Its totient is φ = 1751777280.

The previous prime is 8541953269. The next prime is 8541953327. The reversal of 8541953280 is 823591458.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127491807 + ... + 127491873.

It is an arithmetic number, because the mean of its divisors is an integer number (33358080).

Almost surely, 2^8541953280 is an apocalyptic number.

8541953280 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 8541953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214254080).

8541953280 is an abundant number, since it is smaller than the sum of its proper divisors (29886554880).

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

8541953280 is a wasteful number, since it uses less digits than its factorization.

8541953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8541953280 is about 92422.6881236420. The cubic root of 8541953280 is about 2044.1796659127.

The spelling of 8541953280 in words is "eight billion, five hundred forty-one million, nine hundred fifty-three thousand, two hundred eighty".