20118971842560 has 512 divisors, whose sum is σ = 71667712872000. Its totient is φ = 5354960191488.

The previous prime is 20118971842517. The next prime is 20118971842609. The reversal of 20118971842560 is 6524817981102.

20118971842560 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 8 + 9 + 71 + 8 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a junction number, because it is equal to n+sod(n) for n = 20118971842497 and 20118971842506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517069924 + ... + 2517077916.

Almost surely, 2^{20118971842560} is an apocalyptic number.

20118971842560 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 20118971842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35833856436000).

20118971842560 is an abundant number, since it is smaller than the sum of its proper divisors (51548741029440).

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

20118971842560 is an frugal number, since it uses more digits than its factorization.

20118971842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 20118971842560 in words is "twenty trillion, one hundred eighteen billion, nine hundred seventy-one million, eight hundred forty-two thousand, five hundred sixty".