20016665601600 has 336 divisors, whose sum is σ = 67217242321152. Its totient is φ = 5212195645440.

The previous prime is 20016665601593. The next prime is 20016665601601. The reversal of 20016665601600 is 610656661002.

It is not an unprimeable number, because it can be changed into a prime (20016665601601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883999879 + ... + 884022521.

It is an arithmetic number, because the mean of its divisors is an integer number (200051316432).

Almost surely, 2^{20016665601600} is an apocalyptic number.

20016665601600 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 20016665601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33608621160576).

20016665601600 is an abundant number, since it is smaller than the sum of its proper divisors (47200576719552).

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

20016665601600 is a wasteful number, since it uses less digits than its factorization.

20016665601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26979 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 20016665601600 in words is "twenty trillion, sixteen billion, six hundred sixty-five million, six hundred one thousand, six hundred".