20082352958640 has 800 divisors, whose sum is σ = 84802832699904. Its totient is φ = 4299727380480.

The previous prime is 20082352958617. The next prime is 20082352958659. The reversal of 20082352958640 is 4685925328002.

20082352958640 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 2 + 3 + 52 + 9 + 586 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 162644607 + ... + 162768033.

Almost surely, 2^{20082352958640} is an apocalyptic number.

20082352958640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20082352958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42401416349952).

20082352958640 is an abundant number, since it is smaller than the sum of its proper divisors (64720479741264).

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

20082352958640 is a wasteful number, since it uses less digits than its factorization.

20082352958640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123687 (or 123672 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 20082352958640 in words is "twenty trillion, eighty-two billion, three hundred fifty-two million, nine hundred fifty-eight thousand, six hundred forty".