8571942720000 has 3200 divisors, whose sum is σ = 37552539340800. Its totient is φ = 1907712000000.

The previous prime is 8571942719971. The next prime is 8571942720007. The reversal of 8571942720000 is 272491758.

It is a happy number.

8571942720000 is a `hidden beast` number, since 8 + 5 + 7 + 19 + 427 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is not an unprimeable number, because it can be changed into a prime (8571942720007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 84870719950 + ... + 84870720050.

It is an arithmetic number, because the mean of its divisors is an integer number (11735168544).

Almost surely, 2^{8571942720000} is an apocalyptic number.

8571942720000 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 8571942720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776269670400).

8571942720000 is an abundant number, since it is smaller than the sum of its proper divisors (28980596620800).

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

8571942720000 is a wasteful number, since it uses less digits than its factorization.

8571942720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 8571942720000 in words is "eight trillion, five hundred seventy-one billion, nine hundred forty-two million, seven hundred twenty thousand".