20108312985600 has 4320 divisors, whose sum is σ = 94654163968000. Its totient is φ = 4213820620800.

The previous prime is 20108312985557. The next prime is 20108312985611. The reversal of 20108312985600 is 658921380102.

20108312985600 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 8 + 31 + 2 + 9 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×20108312985600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 648655257585 + ... + 648655257615.

Almost surely, 2^{20108312985600} is an apocalyptic number.

20108312985600 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 20108312985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47327081984000).

20108312985600 is an abundant number, since it is smaller than the sum of its proper divisors (74545850982400).

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

20108312985600 is an frugal number, since it uses more digits than its factorization.

20108312985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20108312985600 in words is "twenty trillion, one hundred eight billion, three hundred twelve million, nine hundred eighty-five thousand, six hundred".