8011153920 has 1280 divisors, whose sum is σ = 36203397120. Its totient is φ = 1459814400.

The previous prime is 8011153903. The next prime is 8011153921. The reversal of 8011153920 is 293511108.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8011153921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258424305 + ... + 258424335.

It is an arithmetic number, because the mean of its divisors is an integer number (28283904).

Almost surely, 2^8011153920 is an apocalyptic number.

8011153920 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 8011153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101698560).

8011153920 is an abundant number, since it is smaller than the sum of its proper divisors (28192243200).

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

8011153920 is a wasteful number, since it uses less digits than its factorization.

8011153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 8011153920 is about 89505.0496899477. The cubic root of 8011153920 is about 2000.9290616887.

The spelling of 8011153920 in words is "eight billion, eleven million, one hundred fifty-three thousand, nine hundred twenty".