83050774940160 has 120 divisors (see below), whose sum is σ = 287628191728020. Its totient is φ = 22146873311232.

The previous prime is 83050774940093. The next prime is 83050774940249. The reversal of 83050774940160 is 6104947705038.

83050774940160 is a `hidden beast` number, since 8 + 3 + 0 + 507 + 74 + 9 + 4 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82420542187776 + 630232752384 = 9078576^2 + 793872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×83050774940160² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83050774940097 and 83050774940106.

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 11 ways as a sum of consecutive naturals, for example, 1802294125 + ... + 1802340204.

Almost surely, 2^{83050774940160} is an apocalyptic number.

83050774940160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83050774940160 is an abundant number, since it is smaller than the sum of its proper divisors (204577416787860).

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

83050774940160 is a wasteful number, since it uses less digits than its factorization.

83050774940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604634358 (or 3604634339 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 83050774940160 in words is "eighty-three trillion, fifty billion, seven hundred seventy-four million, nine hundred forty thousand, one hundred sixty".