9256082209920 has 1536 divisors, whose sum is σ = 40419025920000. Its totient is φ = 1899796267008.

The previous prime is 9256082209877. The next prime is 9256082209931. The reversal of 9256082209920 is 299022806529.

9256082209920 is a `hidden beast` number, since 9 + 2 + 5 + 608 + 2 + 2 + 0 + 9 + 9 + 20 = 666.

9256082209920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4409757031 + ... + 4409759129.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470000).

Almost surely, 2^{9256082209920} is an apocalyptic number.

9256082209920 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 9256082209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209512960000).

9256082209920 is an abundant number, since it is smaller than the sum of its proper divisors (31162943710080).

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

9256082209920 is a wasteful number, since it uses less digits than its factorization.

9256082209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 9256082209920 in words is "nine trillion, two hundred fifty-six billion, eighty-two million, two hundred nine thousand, nine hundred twenty".