91075581891360 has 3072 divisors, whose sum is σ = 397882487439360. Its totient is φ = 19178457661440.

The previous prime is 91075581891233. The next prime is 91075581891451. The reversal of 91075581891360 is 6319818557019.

91075581891360 is a `hidden beast` number, since 9 + 1 + 0 + 7 + 558 + 1 + 8 + 9 + 13 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 94183641597 + ... + 94183642563.

It is an arithmetic number, because the mean of its divisors is an integer number (129519038880).

Almost surely, 2^{91075581891360} is an apocalyptic number.

91075581891360 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 91075581891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198941243719680).

91075581891360 is an abundant number, since it is smaller than the sum of its proper divisors (306806905548000).

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

91075581891360 is a wasteful number, since it uses less digits than its factorization.

91075581891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 91075581891360 in words is "ninety-one trillion, seventy-five billion, five hundred eighty-one million, eight hundred ninety-one thousand, three hundred sixty".