90730882142208 has 3328 divisors, whose sum is σ = 372081613824000. Its totient is φ = 21135989145600.

The previous prime is 90730882142203. The next prime is 90730882142209. The reversal of 90730882142208 is 80224128803709.

90730882142208 is a `hidden beast` number, since 90 + 7 + 30 + 88 + 21 + 422 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90730882142203) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 286217293666 + ... + 286217293982.

Almost surely, 2^{90730882142208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90730882142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186040806912000).

90730882142208 is an abundant number, since it is smaller than the sum of its proper divisors (281350731681792).

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

90730882142208 is a wasteful number, since it uses less digits than its factorization.

90730882142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 90730882142208 in words is "ninety trillion, seven hundred thirty billion, eight hundred eighty-two million, one hundred forty-two thousand, two hundred eight".