8001914520960 has 320 divisors, whose sum is σ = 30080300065200. Its totient is φ = 2021536051200.

The previous prime is 8001914520917. The next prime is 8001914520989. The reversal of 8001914520960 is 690254191008.

8001914520960 is a `hidden beast` number, since 8 + 0 + 0 + 191 + 452 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3077091 + ... + 5047010.

Almost surely, 2^{8001914520960} is an apocalyptic number.

8001914520960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001914520960 is an abundant number, since it is smaller than the sum of its proper divisors (22078385544240).

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

8001914520960 is a wasteful number, since it uses less digits than its factorization.

8001914520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124151 (or 8124130 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 8001914520960 in words is "eight trillion, one billion, nine hundred fourteen million, five hundred twenty thousand, nine hundred sixty".