9285480933120 has 648 divisors, whose sum is σ = 37511530842240. Its totient is φ = 2114471116800.

The previous prime is 9285480933119. The next prime is 9285480933161. The reversal of 9285480933120 is 213390845829.

9285480933120 is a `hidden beast` number, since 9 + 2 + 8 + 5 + 480 + 9 + 33 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151814545 + ... + 151875695.

It is an arithmetic number, because the mean of its divisors is an integer number (57888164880).

Almost surely, 2^{9285480933120} is an apocalyptic number.

9285480933120 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 9285480933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755765421120).

9285480933120 is an abundant number, since it is smaller than the sum of its proper divisors (28226049909120).

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

9285480933120 is a wasteful number, since it uses less digits than its factorization.

9285480933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61461 (or 61437 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9285480933120 in words is "nine trillion, two hundred eighty-five billion, four hundred eighty million, nine hundred thirty-three thousand, one hundred twenty".