90229317202080 has 1152 divisors, whose sum is σ = 386568831946752. Its totient is φ = 19401884909568.

The previous prime is 90229317202049. The next prime is 90229317202181. The reversal of 90229317202080 is 8020271392209.

It is a happy number.

90229317202080 is a `hidden beast` number, since 90 + 2 + 29 + 317 + 20 + 208 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20019815187 + ... + 20019819693.

It is an arithmetic number, because the mean of its divisors is an integer number (335563222176).

Almost surely, 2^{90229317202080} is an apocalyptic number.

90229317202080 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 90229317202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193284415973376).

90229317202080 is an abundant number, since it is smaller than the sum of its proper divisors (296339514744672).

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

90229317202080 is a wasteful number, since it uses less digits than its factorization.

90229317202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 90229317202080 its reverse (8020271392209), we get a palindrome (98249588594289).

The spelling of 90229317202080 in words is "ninety trillion, two hundred twenty-nine billion, three hundred seventeen million, two hundred two thousand, eighty".