91830666240 has 528 divisors, whose sum is σ = 341429774400. Its totient is φ = 22750101504.

The previous prime is 91830666209. The next prime is 91830666251. The reversal of 91830666240 is 4266603819.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46401571 + ... + 46403549.

It is an arithmetic number, because the mean of its divisors is an integer number (646647300).

Almost surely, 2^91830666240 is an apocalyptic number.

91830666240 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 91830666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170714887200).

91830666240 is an abundant number, since it is smaller than the sum of its proper divisors (249599108160).

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

91830666240 is a wasteful number, since it uses less digits than its factorization.

91830666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 91830666240 in words is "ninety-one billion, eight hundred thirty million, six hundred sixty-six thousand, two hundred forty".