90826529040 has 320 divisors, whose sum is σ = 339578265600. Its totient is φ = 22180386816.

The previous prime is 90826529011. The next prime is 90826529041. The reversal of 90826529040 is 4092562809.

90826529040 is a `hidden beast` number, since 9 + 0 + 82 + 6 + 529 + 0 + 40 = 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 (90826529041) 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, 3553426 + ... + 3578894.

It is an arithmetic number, because the mean of its divisors is an integer number (1061182080).

Almost surely, 2^90826529040 is an apocalyptic number.

90826529040 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 90826529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169789132800).

90826529040 is an abundant number, since it is smaller than the sum of its proper divisors (248751736560).

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

90826529040 is a wasteful number, since it uses less digits than its factorization.

90826529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 90826529040 in words is "ninety billion, eight hundred twenty-six million, five hundred twenty-nine thousand, forty".