90665229600 has 432 divisors, whose sum is σ = 369294176160. Its totient is φ = 20686233600.

The previous prime is 90665229517. The next prime is 90665229601. The reversal of 90665229600 is 692256609.

90665229600 is a `hidden beast` number, since 9 + 0 + 66 + 522 + 9 + 60 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90665229601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1312731 + ... + 1380069.

It is an arithmetic number, because the mean of its divisors is an integer number (854847630).

Almost surely, 2^90665229600 is an apocalyptic number.

90665229600 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 90665229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184647088080).

90665229600 is an abundant number, since it is smaller than the sum of its proper divisors (278628946560).

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

90665229600 is a wasteful number, since it uses less digits than its factorization.

90665229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67393 (or 67377 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90665229600 in words is "ninety billion, six hundred sixty-five million, two hundred twenty-nine thousand, six hundred".