91918200000 has 672 divisors, whose sum is σ = 349545127680. Its totient is φ = 21081600000.

The previous prime is 91918199993. The next prime is 91918200007. The reversal of 91918200000 is 281919.

It is an interprime number because it is at equal distance from previous prime (91918199993) and next prime (91918200007).

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

It is not an unprimeable number, because it can be changed into a prime (91918200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125399634 + ... + 125400366.

It is an arithmetic number, because the mean of its divisors is an integer number (520156440).

Almost surely, 2^91918200000 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 91918200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174772563840).

91918200000 is an abundant number, since it is smaller than the sum of its proper divisors (257626927680).

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

91918200000 is a wasteful number, since it uses less digits than its factorization.

91918200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 91918200000 its reverse (281919), we get a palindrome (91918481919).

The spelling of 91918200000 in words is "ninety-one billion, nine hundred eighteen million, two hundred thousand".