91085420160 has 768 divisors, whose sum is σ = 384943104000. Its totient is φ = 20140462080.

The previous prime is 91085420159. The next prime is 91085420171. The reversal of 91085420160 is 6102458019.

91085420160 is a `hidden beast` number, since 9 + 108 + 542 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33746491 + ... + 33749189.

It is an arithmetic number, because the mean of its divisors is an integer number (501228000).

Almost surely, 2^91085420160 is an apocalyptic number.

91085420160 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 91085420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552000).

91085420160 is an abundant number, since it is smaller than the sum of its proper divisors (293857683840).

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

91085420160 is a wasteful number, since it uses less digits than its factorization.

91085420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 91085420160 its reverse (6102458019), we get a palindrome (97187878179).

The spelling of 91085420160 in words is "ninety-one billion, eighty-five million, four hundred twenty thousand, one hundred sixty".