91072681662720 has 576 divisors, whose sum is σ = 311901383808000. Its totient is φ = 22579854409728.

The previous prime is 91072681662719. The next prime is 91072681662727. The reversal of 91072681662720 is 2726618627019.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (91072681662727) 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 63 ways as a sum of consecutive naturals, for example, 1314923451 + ... + 1314992709.

It is an arithmetic number, because the mean of its divisors is an integer number (541495458000).

Almost surely, 2^{91072681662720} 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 91072681662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155950691904000).

91072681662720 is an abundant number, since it is smaller than the sum of its proper divisors (220828702145280).

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

91072681662720 is a wasteful number, since it uses less digits than its factorization.

91072681662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69638 (or 69624 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 91072681662720 in words is "ninety-one trillion, seventy-two billion, six hundred eighty-one million, six hundred sixty-two thousand, seven hundred twenty".