91682829720 has 128 divisors (see below), whose sum is σ = 305909568000. Its totient is φ = 24424744320.

The previous prime is 91682829703. The next prime is 91682829769. The reversal of 91682829720 is 2792828619.

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

It is a congruent number.

It is an unprimeable number.

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, 1072311 + ... + 1154649.

It is an arithmetic number, because the mean of its divisors is an integer number (2389918500).

Almost surely, 2^91682829720 is an apocalyptic number.

91682829720 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 91682829720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152954784000).

91682829720 is an abundant number, since it is smaller than the sum of its proper divisors (214226738280).

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

91682829720 is a wasteful number, since it uses less digits than its factorization.

91682829720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83390 (or 83380 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 91682829720 in words is "ninety-one billion, six hundred eighty-two million, eight hundred twenty-nine thousand, seven hundred twenty".