91829191109280 has 192 divisors, whose sum is σ = 289857566517120. Its totient is φ = 24437375778816.

The previous prime is 91829191109263. The next prime is 91829191109287. The reversal of 91829191109280 is 8290119192819.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (91829191109287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010556524 + ... + 2010602196.

It is an arithmetic number, because the mean of its divisors is an integer number (1509674825610).

Almost surely, 2^{91829191109280} 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 91829191109280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144928783258560).

91829191109280 is an abundant number, since it is smaller than the sum of its proper divisors (198028375407840).

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

91829191109280 is a wasteful number, since it uses less digits than its factorization.

91829191109280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54223 (or 54215 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 60.

The spelling of 91829191109280 in words is "ninety-one trillion, eight hundred twenty-nine billion, one hundred ninety-one million, one hundred nine thousand, two hundred eighty".