91284019200 has 1728 divisors, whose sum is σ = 399236947200. Its totient is φ = 20437401600.

The previous prime is 91284019157. The next prime is 91284019201. The reversal of 91284019200 is 291048219.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×91284019200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91284019201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3147724786 + ... + 3147724814.

It is an arithmetic number, because the mean of its divisors is an integer number (231039900).

Almost surely, 2^91284019200 is an apocalyptic number.

91284019200 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 91284019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618473600).

91284019200 is an abundant number, since it is smaller than the sum of its proper divisors (307952928000).

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

91284019200 is a wasteful number, since it uses less digits than its factorization.

91284019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 91284019200 in words is "ninety-one billion, two hundred eighty-four million, nineteen thousand, two hundred".