90538656720 has 160 divisors (see below), whose sum is σ = 288049063680. Its totient is φ = 23511060480.

The previous prime is 90538656709. The next prime is 90538656727. The reversal of 90538656720 is 2765683509.

It is a happy number.

It is a super-3 number, since 3×90538656720³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90538656727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5472621 + ... + 5489139.

It is an arithmetic number, because the mean of its divisors is an integer number (1800306648).

Almost surely, 2^90538656720 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 90538656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144024531840).

90538656720 is an abundant number, since it is smaller than the sum of its proper divisors (197510406960).

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

90538656720 is a wasteful number, since it uses less digits than its factorization.

90538656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17133 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 90538656720 in words is "ninety billion, five hundred thirty-eight million, six hundred fifty-six thousand, seven hundred twenty".