83048877792 has 72 divisors (see below), whose sum is σ = 248600275560. Its totient is φ = 26225959680.

The previous prime is 83048877761. The next prime is 83048877809. The reversal of 83048877792 is 29777884038.

83048877792 is a `hidden beast` number, since 83 + 0 + 488 + 7 + 7 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×83048877792² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7583059 + ... + 7594002.

It is an arithmetic number, because the mean of its divisors is an integer number (3452781605).

Almost surely, 2^83048877792 is an apocalyptic number.

It is an amenable number.

83048877792 is an abundant number, since it is smaller than the sum of its proper divisors (165551397768).

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

83048877792 is a wasteful number, since it uses less digits than its factorization.

83048877792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177096 (or 15177085 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 83048877792 in words is "eighty-three billion, forty-eight million, eight hundred seventy-seven thousand, seven hundred ninety-two".