91485670320 has 1440 divisors, whose sum is σ = 389000102400. Its totient is φ = 19871723520.

The previous prime is 91485670313. The next prime is 91485670337. The reversal of 91485670320 is 2307658419.

91485670320 is a `hidden beast` number, since 91 + 485 + 67 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1027928836 + ... + 1027928924.

It is an arithmetic number, because the mean of its divisors is an integer number (270138960).

It is a 1-persistent number, because it is pandigital, but 2⋅91485670320 = 182971340640 is not.

Almost surely, 2^91485670320 is an apocalyptic number.

91485670320 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 91485670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194500051200).

91485670320 is an abundant number, since it is smaller than the sum of its proper divisors (297514432080).

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

91485670320 is a wasteful number, since it uses less digits than its factorization.

91485670320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 91485670320 in words is "ninety-one billion, four hundred eighty-five million, six hundred seventy thousand, three hundred twenty".