8011900014720 has 2048 divisors, whose sum is σ = 32619486412800. Its totient is φ = 1631531827200.

The previous prime is 8011900014659. The next prime is 8011900014731. The reversal of 8011900014720 is 274100091108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79325742670 + ... + 79325742770.

It is an arithmetic number, because the mean of its divisors is an integer number (15927483600).

Almost surely, 2^{8011900014720} is an apocalyptic number.

8011900014720 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 8011900014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309743206400).

8011900014720 is an abundant number, since it is smaller than the sum of its proper divisors (24607586398080).

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

8011900014720 is a wasteful number, since it uses less digits than its factorization.

8011900014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 8011900014720 in words is "eight trillion, eleven billion, nine hundred million, fourteen thousand, seven hundred twenty".