91450189057920 has 2048 divisors, whose sum is σ = 395929295585280. Its totient is φ = 17373462528000.

The previous prime is 91450189057823. The next prime is 91450189057973. The reversal of 91450189057920 is 2975098105419.

It is a super-2 number, since 2×91450189057920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 255 ways as a sum of consecutive naturals, for example, 16183007095 + ... + 16183012745.

It is an arithmetic number, because the mean of its divisors is an integer number (193324851360).

Almost surely, 2^{91450189057920} 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 91450189057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197964647792640).

91450189057920 is an abundant number, since it is smaller than the sum of its proper divisors (304479106527360).

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

91450189057920 is a wasteful number, since it uses less digits than its factorization.

91450189057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 60.

The spelling of 91450189057920 in words is "ninety-one trillion, four hundred fifty billion, one hundred eighty-nine million, fifty-seven thousand, nine hundred twenty".