20061606234600 has 864 divisors, whose sum is σ = 80549649180000. Its totient is φ = 4459118791680.

The previous prime is 20061606234577. The next prime is 20061606234629. The reversal of 20061606234600 is 643260616002.

20061606234600 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 1 + 606 + 2 + 3 + 46 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 868493851 + ... + 868516949.

It is an arithmetic number, because the mean of its divisors is an integer number (93228760625).

Almost surely, 2^{20061606234600} is an apocalyptic number.

20061606234600 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 20061606234600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40274824590000).

20061606234600 is an abundant number, since it is smaller than the sum of its proper divisors (60488042945400).

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

20061606234600 is a wasteful number, since it uses less digits than its factorization.

20061606234600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407 (or 23388 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20061606234600 in words is "twenty trillion, sixty-one billion, six hundred six million, two hundred thirty-four thousand, six hundred".