90356867680 has 96 divisors (see below), whose sum is σ = 220117945824. Its totient is φ = 35033296896.

The previous prime is 90356867659. The next prime is 90356867687. The reversal of 90356867680 is 8676865309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90356867687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639652 + ... + 768028.

It is an arithmetic number, because the mean of its divisors is an integer number (2292895269).

Almost surely, 2^90356867680 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 90356867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110058972912).

90356867680 is an abundant number, since it is smaller than the sum of its proper divisors (129761078144).

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

90356867680 is a wasteful number, since it uses less digits than its factorization.

90356867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128528 (or 128520 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 90356867680 in words is "ninety billion, three hundred fifty-six million, eight hundred sixty-seven thousand, six hundred eighty".