83142304560 has 120 divisors (see below), whose sum is σ = 319108102560. Its totient is φ = 19003954176.

The previous prime is 83142304559. The next prime is 83142304589. The reversal of 83142304560 is 6540324138.

83142304560 is a `hidden beast` number, since 83 + 14 + 2 + 3 + 0 + 4 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8243205 + ... + 8253284.

It is an arithmetic number, because the mean of its divisors is an integer number (2659234188).

Almost surely, 2^83142304560 is an apocalyptic number.

83142304560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83142304560 is an abundant number, since it is smaller than the sum of its proper divisors (235965798000).

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

83142304560 is a wasteful number, since it uses less digits than its factorization.

83142304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16496515 (or 16496506 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 83142304560 its reverse (6540324138), we get a palindrome (89682628698).

The spelling of 83142304560 in words is "eighty-three billion, one hundred forty-two million, three hundred four thousand, five hundred sixty".