91082983680 has 360 divisors, whose sum is σ = 350986886712. Its totient is φ = 22420094976.

The previous prime is 91082983643. The next prime is 91082983699. The reversal of 91082983680 is 8638928019.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 90403651584 = 26064^2 + 300672^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×91082983680³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1314052 + ... + 1381628.

Almost surely, 2^91082983680 is an apocalyptic number.

91082983680 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 91082983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175493443356).

91082983680 is an abundant number, since it is smaller than the sum of its proper divisors (259903903032).

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

91082983680 is a wasteful number, since it uses less digits than its factorization.

91082983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67623 (or 67600 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 91082983680 in words is "ninety-one billion, eighty-two million, nine hundred eighty-three thousand, six hundred eighty".