83045342126790 has 96 divisors (see below), whose sum is σ = 222983351914752. Its totient is φ = 21421405152000.

The previous prime is 83045342126777. The next prime is 83045342126797. The reversal of 83045342126790 is 9762124354038.

83045342126790 is a `hidden beast` number, since 8 + 3 + 0 + 4 + 534 + 2 + 12 + 6 + 7 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83045342126797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 504301 + ... + 12897480.

It is an arithmetic number, because the mean of its divisors is an integer number (2322743249112).

It is a 1-persistent number, because it is pandigital, but 2⋅83045342126790 = 166090684253580 is not.

Almost surely, 2^{83045342126790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83045342126790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111491675957376).

83045342126790 is an abundant number, since it is smaller than the sum of its proper divisors (139938009787962).

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

83045342126790 is a wasteful number, since it uses less digits than its factorization.

83045342126790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404046 (or 13404043 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 83045342126790 in words is "eighty-three trillion, forty-five billion, three hundred forty-two million, one hundred twenty-six thousand, seven hundred ninety".