83366588861640 has 1280 divisors, whose sum is σ = 331705984896000. Its totient is φ = 18769351974912.

The previous prime is 83366588861599. The next prime is 83366588861653. The reversal of 83366588861640 is 4616888566338.

83366588861640 is a `hidden beast` number, since 8 + 3 + 36 + 6 + 588 + 8 + 6 + 1 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×83366588861640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22549792272 + ... + 22549795968.

It is an arithmetic number, because the mean of its divisors is an integer number (259145300700).

Almost surely, 2^{83366588861640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83366588861640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165852992448000).

83366588861640 is an abundant number, since it is smaller than the sum of its proper divisors (248339396034360).

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

83366588861640 is a wasteful number, since it uses less digits than its factorization.

83366588861640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 83366588861640 in words is "eighty-three trillion, three hundred sixty-six billion, five hundred eighty-eight million, eight hundred sixty-one thousand, six hundred forty".