9093387494880 has 1536 divisors, whose sum is σ = 36358834176000. Its totient is φ = 2107029749760.

The previous prime is 9093387494857. The next prime is 9093387494929. The reversal of 9093387494880 is 884947833909.

9093387494880 is a `hidden beast` number, since 9 + 0 + 93 + 387 + 49 + 48 + 80 = 666.

It is a super-2 number, since 2×9093387494880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9093387494799 and 9093387494808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12825651966 + ... + 12825652674.

It is an arithmetic number, because the mean of its divisors is an integer number (23671116000).

Almost surely, 2^{9093387494880} is an apocalyptic number.

9093387494880 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 9093387494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179417088000).

9093387494880 is an abundant number, since it is smaller than the sum of its proper divisors (27265446681120).

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

9093387494880 is a wasteful number, since it uses less digits than its factorization.

9093387494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 9093387494880 in words is "nine trillion, ninety-three billion, three hundred eighty-seven million, four hundred ninety-four thousand, eight hundred eighty".