90908900425728 has 1024 divisors, whose sum is σ = 355578607641600. Its totient is φ = 22223435857920.

The previous prime is 90908900425661. The next prime is 90908900425751. The reversal of 90908900425728 is 82752400980909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×90908900425728² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 1158080176 + ... + 1158158672.

It is an arithmetic number, because the mean of its divisors is an integer number (347244734025).

Almost surely, 2^{90908900425728} 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 90908900425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177789303820800).

90908900425728 is an abundant number, since it is smaller than the sum of its proper divisors (264669707215872).

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

90908900425728 is a wasteful number, since it uses less digits than its factorization.

90908900425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78571 (or 78537 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 90908900425728 in words is "ninety trillion, nine hundred eight billion, nine hundred million, four hundred twenty-five thousand, seven hundred twenty-eight".