20562021668160 has 1568 divisors, whose sum is σ = 85187933134080. Its totient is φ = 4628322975744.

The previous prime is 20562021668119. The next prime is 20562021668179. The reversal of 20562021668160 is 6186612026502.

20562021668160 is a `hidden beast` number, since 2 + 0 + 5 + 620 + 2 + 1 + 6 + 6 + 8 + 16 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 35636085792 + ... + 35636086368.

Almost surely, 2^{20562021668160} is an apocalyptic number.

20562021668160 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 20562021668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42593966567040).

20562021668160 is an abundant number, since it is smaller than the sum of its proper divisors (64625911465920).

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

20562021668160 is a wasteful number, since it uses less digits than its factorization.

20562021668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20562021668160 in words is "twenty trillion, five hundred sixty-two billion, twenty-one million, six hundred sixty-eight thousand, one hundred sixty".