32055090891120 has 320 divisors, whose sum is σ = 121073540083200. Its totient is φ = 7730666127360.

The previous prime is 32055090891091. The next prime is 32055090891121. The reversal of 32055090891120 is 2119809055023.

32055090891120 is a `hidden beast` number, since 3 + 2 + 0 + 550 + 9 + 0 + 8 + 91 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32055090891121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090551 + ... + 8080809.

It is an arithmetic number, because the mean of its divisors is an integer number (378354812760).

Almost surely, 2^{32055090891120} is an apocalyptic number.

32055090891120 is a gapful number since it is divisible by the number (30) 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 32055090891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60536770041600).

32055090891120 is an abundant number, since it is smaller than the sum of its proper divisors (89018449192080).

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

32055090891120 is a wasteful number, since it uses less digits than its factorization.

32055090891120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990485 (or 6990473 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 32055090891120 in words is "thirty-two trillion, fifty-five billion, ninety million, eight hundred ninety-one thousand, one hundred twenty".