91395754145280 has 960 divisors, whose sum is σ = 354525431420160. Its totient is φ = 21612090359808.

The previous prime is 91395754145219. The next prime is 91395754145329. The reversal of 91395754145280 is 8254145759319.

It is a happy number.

91395754145280 is a `hidden beast` number, since 9 + 1 + 3 + 9 + 5 + 7 + 541 + 4 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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, 875444764 + ... + 875549156.

It is an arithmetic number, because the mean of its divisors is an integer number (369297324396).

Almost surely, 2^{91395754145280} is an apocalyptic number.

91395754145280 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 91395754145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177262715710080).

91395754145280 is an abundant number, since it is smaller than the sum of its proper divisors (263129677274880).

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

91395754145280 is a wasteful number, since it uses less digits than its factorization.

91395754145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104551 (or 104532 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 91395754145280 in words is "ninety-one trillion, three hundred ninety-five billion, seven hundred fifty-four million, one hundred forty-five thousand, two hundred eighty".