20106571161600 has 4032 divisors, whose sum is σ = 95711551568640. Its totient is φ = 4099158835200.

The previous prime is 20106571161557. The next prime is 20106571161629. The reversal of 20106571161600 is 616117560102.

It is a happy number.

20106571161600 is a `hidden beast` number, since 2 + 0 + 10 + 6 + 571 + 16 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 379369267174 + ... + 379369267226.

It is an arithmetic number, because the mean of its divisors is an integer number (23737984020).

Almost surely, 2^{20106571161600} is an apocalyptic number.

20106571161600 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 20106571161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47855775784320).

20106571161600 is an abundant number, since it is smaller than the sum of its proper divisors (75604980407040).

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

20106571161600 is an frugal number, since it uses more digits than its factorization.

20106571161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 20106571161600 in words is "twenty trillion, one hundred six billion, five hundred seventy-one million, one hundred sixty-one thousand, six hundred".