91741212969120 has 4032 divisors, whose sum is σ = 414310302362880. Its totient is φ = 18990141603840.

The previous prime is 91741212969101. The next prime is 91741212969221. The reversal of 91741212969120 is 2196921214719.

91741212969120 is a `hidden beast` number, since 9 + 1 + 7 + 412 + 12 + 96 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 671 ways as a sum of consecutive naturals, for example, 208977705861 + ... + 208977706299.

It is an arithmetic number, because the mean of its divisors is an integer number (102755531340).

Almost surely, 2^{91741212969120} is an apocalyptic number.

91741212969120 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 91741212969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207155151181440).

91741212969120 is an abundant number, since it is smaller than the sum of its proper divisors (322569089393760).

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

91741212969120 is a wasteful number, since it uses less digits than its factorization.

91741212969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 91741212969120 in words is "ninety-one trillion, seven hundred forty-one billion, two hundred twelve million, nine hundred sixty-nine thousand, one hundred twenty".