8911921920 has 432 divisors, whose sum is σ = 32190939648. Its totient is φ = 2082938880.

The previous prime is 8911921913. The next prime is 8911921927. The reversal of 8911921920 is 291291198.

It is an interprime number because it is at equal distance from previous prime (8911921913) and next prime (8911921927).

It is not an unprimeable number, because it can be changed into a prime (8911921927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133013727 + ... + 133013793.

It is an arithmetic number, because the mean of its divisors is an integer number (74516064).

Almost surely, 2^8911921920 is an apocalyptic number.

8911921920 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 8911921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095469824).

8911921920 is an abundant number, since it is smaller than the sum of its proper divisors (23279017728).

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

8911921920 is a wasteful number, since it uses less digits than its factorization.

8911921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The square root of 8911921920 is about 94402.9762242695. The cubic root of 8911921920 is about 2073.2760186755.

The spelling of 8911921920 in words is "eight billion, nine hundred eleven million, nine hundred twenty-one thousand, nine hundred twenty".