9081712379520 has 1280 divisors, whose sum is σ = 37695430080000. Its totient is φ = 2060418539520.

The previous prime is 9081712379489. The next prime is 9081712379533. The reversal of 9081712379520 is 259732171809.

It is a happy number.

9081712379520 is a `hidden beast` number, since 9 + 0 + 81 + 7 + 1 + 2 + 37 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 899263431 + ... + 899273529.

It is an arithmetic number, because the mean of its divisors is an integer number (29449554750).

Almost surely, 2^{9081712379520} is an apocalyptic number.

9081712379520 is a gapful number since it is divisible by the number (90) 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 9081712379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847715040000).

9081712379520 is an abundant number, since it is smaller than the sum of its proper divisors (28613717700480).

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

9081712379520 is a wasteful number, since it uses less digits than its factorization.

9081712379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 9081712379520 in words is "nine trillion, eighty-one billion, seven hundred twelve million, three hundred seventy-nine thousand, five hundred twenty".