8542971360 has 288 divisors, whose sum is σ = 36346931712. Its totient is φ = 1775139840.

The previous prime is 8542971341. The next prime is 8542971431. The reversal of 8542971360 is 631792458.

8542971360 is a `hidden beast` number, since 8 + 542 + 9 + 71 + 36 + 0 = 666.

8542971360 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

8542971360 is strictly pandigital in base 10.

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 47 ways as a sum of consecutive naturals, for example, 72357 + ... + 149403.

It is an arithmetic number, because the mean of its divisors is an integer number (126204624).

It is a 1-persistent number, because it is pandigital, but 2⋅8542971360 = 17085942720 is not.

Almost surely, 2^8542971360 is an apocalyptic number.

8542971360 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 8542971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173465856).

8542971360 is an abundant number, since it is smaller than the sum of its proper divisors (27803960352).

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

8542971360 is a wasteful number, since it uses less digits than its factorization.

8542971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77086 (or 77075 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8542971360 is about 92428.1956980661. The cubic root of 8542971360 is about 2044.2608751198.

The spelling of 8542971360 in words is "eight billion, five hundred forty-two million, nine hundred seventy-one thousand, three hundred sixty".