90626294880 has 384 divisors, whose sum is σ = 353398671360. Its totient is φ = 21502033920.

The previous prime is 90626294873. The next prime is 90626294881. The reversal of 90626294880 is 8849262609.

It is a happy number.

90626294880 is a `hidden beast` number, since 9 + 0 + 6 + 2 + 629 + 4 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90626294881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2213152 + ... + 2253728.

It is an arithmetic number, because the mean of its divisors is an integer number (920309040).

Almost surely, 2^90626294880 is an apocalyptic number.

90626294880 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 90626294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176699335680).

90626294880 is an abundant number, since it is smaller than the sum of its proper divisors (262772376480).

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

90626294880 is a wasteful number, since it uses less digits than its factorization.

90626294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40659 (or 40645 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90626294880 in words is "ninety billion, six hundred twenty-six million, two hundred ninety-four thousand, eight hundred eighty".