91969204387840 has 864 divisors, whose sum is σ = 251894844472320. Its totient is φ = 32028670033920.

The previous prime is 91969204387763. The next prime is 91969204387861. The reversal of 91969204387840 is 4878340296919.

It is a super-3 number, since 3×91969204387840³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91969204387840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384808386441 + ... + 384808386679.

It is an arithmetic number, because the mean of its divisors is an integer number (291544958880).

Almost surely, 2^{91969204387840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91969204387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125947422236160).

91969204387840 is an abundant number, since it is smaller than the sum of its proper divisors (159925640084480).

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

91969204387840 is an equidigital number, since it uses as much as digits as its factorization.

91969204387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 70.

The spelling of 91969204387840 in words is "ninety-one trillion, nine hundred sixty-nine billion, two hundred four million, three hundred eighty-seven thousand, eight hundred forty".