83060691840 has 960 divisors, whose sum is σ = 363425000400. Its totient is φ = 17975623680.

The previous prime is 83060691817. The next prime is 83060691869. The reversal of 83060691840 is 4819606038.

83060691840 is a `hidden beast` number, since 8 + 30 + 606 + 9 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48262180 + ... + 48263900.

Almost surely, 2^83060691840 is an apocalyptic number.

83060691840 is a gapful number since it is divisible by the number (80) 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 83060691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181712500200).

83060691840 is an abundant number, since it is smaller than the sum of its proper divisors (280364308560).

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

83060691840 is a wasteful number, since it uses less digits than its factorization.

83060691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 83060691840 in words is "eighty-three billion, sixty million, six hundred ninety-one thousand, eight hundred forty".