90055065600 has 720 divisors, whose sum is σ = 351052531200. Its totient is φ = 22554869760.

The previous prime is 90055065599. The next prime is 90055065631. The reversal of 90055065600 is 656055009.

90055065600 is a `hidden beast` number, since 90 + 0 + 5 + 5 + 0 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188006161 + ... + 188006639.

It is an arithmetic number, because the mean of its divisors is an integer number (487572960).

Almost surely, 2^90055065600 is an apocalyptic number.

90055065600 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 90055065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175526265600).

90055065600 is an abundant number, since it is smaller than the sum of its proper divisors (260997465600).

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

90055065600 is a wasteful number, since it uses less digits than its factorization.

90055065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 90055065600 in words is "ninety billion, fifty-five million, sixty-five thousand, six hundred".