8945937285120 has 2304 divisors, whose sum is σ = 38050580736000. Its totient is φ = 1970484019200.

The previous prime is 8945937285067. The next prime is 8945937285133. The reversal of 8945937285120 is 215827395498.

8945937285120 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 93 + 7 + 28 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151626055651 + ... + 151626055709.

It is an arithmetic number, because the mean of its divisors is an integer number (16515009000).

Almost surely, 2^{8945937285120} is an apocalyptic number.

8945937285120 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 8945937285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025290368000).

8945937285120 is an abundant number, since it is smaller than the sum of its proper divisors (29104643450880).

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

8945937285120 is a wasteful number, since it uses less digits than its factorization.

8945937285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 8945937285120 in words is "eight trillion, nine hundred forty-five billion, nine hundred thirty-seven million, two hundred eighty-five thousand, one hundred twenty".