91270728149760 has 1296 divisors, whose sum is σ = 338463103305600. Its totient is φ = 23562781949952.

The previous prime is 91270728149687. The next prime is 91270728149779. The reversal of 91270728149760 is 6794182707219.

91270728149760 is a `hidden beast` number, since 9 + 1 + 2 + 7 + 0 + 7 + 2 + 81 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74264220826 + ... + 74264222054.

Almost surely, 2^{91270728149760} is an apocalyptic number.

91270728149760 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 91270728149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169231551652800).

91270728149760 is an abundant number, since it is smaller than the sum of its proper divisors (247192375155840).

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

91270728149760 is an equidigital number, since it uses as much as digits as its factorization.

91270728149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 91270728149760 in words is "ninety-one trillion, two hundred seventy billion, seven hundred twenty-eight million, one hundred forty-nine thousand, seven hundred sixty".