92001318240 has 192 divisors, whose sum is σ = 312403101696. Its totient is φ = 22624253952.

The previous prime is 92001318169. The next prime is 92001318247. The reversal of 92001318240 is 4281310029.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 92001318198 and 92001318207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92001318247) 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, 6876037 + ... + 6889403.

It is an arithmetic number, because the mean of its divisors is an integer number (1627099488).

Almost surely, 2^92001318240 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 92001318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156201550848).

92001318240 is an abundant number, since it is smaller than the sum of its proper divisors (220401783456).

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

92001318240 is a wasteful number, since it uses less digits than its factorization.

92001318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 92001318240 its reverse (4281310029), we get a palindrome (96282628269).

The spelling of 92001318240 in words is "ninety-two billion, one million, three hundred eighteen thousand, two hundred forty".