8908217545920 has 1344 divisors, whose sum is σ = 37502158159872. Its totient is φ = 1769499648000.

The previous prime is 8908217545883. The next prime is 8908217545937. The reversal of 8908217545920 is 295457128098.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×8908217545920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1331369775 + ... + 1331376465.

It is an arithmetic number, because the mean of its divisors is an integer number (27903391488).

Almost surely, 2^{8908217545920} is an apocalyptic number.

8908217545920 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 8908217545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751079079936).

8908217545920 is an abundant number, since it is smaller than the sum of its proper divisors (28593940613952).

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

8908217545920 is a wasteful number, since it uses less digits than its factorization.

8908217545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 8908217545920 in words is "eight trillion, nine hundred eight billion, two hundred seventeen million, five hundred forty-five thousand, nine hundred twenty".