8953920847872 has 1536 divisors, whose sum is σ = 35495853120000. Its totient is φ = 2143326044160.

The previous prime is 8953920847871. The next prime is 8953920847889. The reversal of 8953920847872 is 2787480293598.

8953920847872 is a `hidden beast` number, since 8 + 9 + 539 + 2 + 0 + 8 + 4 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8953920847872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8953920847871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14465138379 + ... + 14465138997.

It is an arithmetic number, because the mean of its divisors is an integer number (23109279375).

Almost surely, 2^{8953920847872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8953920847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747926560000).

8953920847872 is an abundant number, since it is smaller than the sum of its proper divisors (26541932272128).

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

8953920847872 is a wasteful number, since it uses less digits than its factorization.

8953920847872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 8953920847872 in words is "eight trillion, nine hundred fifty-three billion, nine hundred twenty million, eight hundred forty-seven thousand, eight hundred seventy-two".