91993585321440 has 768 divisors, whose sum is σ = 357659817338880. Its totient is φ = 22080529152000.

The previous prime is 91993585321373. The next prime is 91993585321487. The reversal of 91993585321440 is 4412358539919.

91993585321440 is a `hidden beast` number, since 9 + 1 + 9 + 9 + 3 + 58 + 532 + 1 + 4 + 40 = 666.

It is a super-2 number, since 2×91993585321440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 580662717 + ... + 580821123.

It is an arithmetic number, because the mean of its divisors is an integer number (465702887160).

Almost surely, 2^{91993585321440} is an apocalyptic number.

91993585321440 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 91993585321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178829908669440).

91993585321440 is an abundant number, since it is smaller than the sum of its proper divisors (265666232017440).

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

91993585321440 is a wasteful number, since it uses less digits than its factorization.

91993585321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158565 (or 158529 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 91993585321440 in words is "ninety-one trillion, nine hundred ninety-three billion, five hundred eighty-five million, three hundred twenty-one thousand, four hundred forty".