8869931406720 has 384 divisors, whose sum is σ = 31717158876000. Its totient is φ = 2281445720064.

The previous prime is 8869931406719. The next prime is 8869931406781. The reversal of 8869931406720 is 276041399688.

8869931406720 is a `hidden beast` number, since 88 + 69 + 93 + 1 + 406 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×8869931406720³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168517047 + ... + 168569673.

Almost surely, 2^{8869931406720} is an apocalyptic number.

8869931406720 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 8869931406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858579438000).

8869931406720 is an abundant number, since it is smaller than the sum of its proper divisors (22847227469280).

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

8869931406720 is a wasteful number, since it uses less digits than its factorization.

8869931406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53690 (or 53675 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 8869931406720 in words is "eight trillion, eight hundred sixty-nine billion, nine hundred thirty-one million, four hundred six thousand, seven hundred twenty".