90268738560 has 2112 divisors, whose sum is σ = 446349496320. Its totient is φ = 16243752960.

The previous prime is 90268738537. The next prime is 90268738589. The reversal of 90268738560 is 6583786209.

It is a happy number.

90268738560 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 8 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×90268738560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90268738497 and 90268738506.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 876395469 + ... + 876395571.

Almost surely, 2^90268738560 is an apocalyptic number.

90268738560 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 90268738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223174748160).

90268738560 is an abundant number, since it is smaller than the sum of its proper divisors (356080757760).

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

90268738560 is a wasteful number, since it uses less digits than its factorization.

90268738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 90268 and 738560, that added together give a palindrome (828828).

The spelling of 90268738560 in words is "ninety billion, two hundred sixty-eight million, seven hundred thirty-eight thousand, five hundred sixty".