20838286517664 has 192 divisors, whose sum is σ = 68201230003200. Its totient is φ = 5412287877120.

The previous prime is 20838286517651. The next prime is 20838286517689. The reversal of 20838286517664 is 46671568283802.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 20838286517595 and 20838286517604.

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, 197187912 + ... + 197293560.

It is an arithmetic number, because the mean of its divisors is an integer number (355214739600).

Almost surely, 2^{20838286517664} is an apocalyptic number.

20838286517664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20838286517664 is an abundant number, since it is smaller than the sum of its proper divisors (47362943485536).

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

20838286517664 is a wasteful number, since it uses less digits than its factorization.

20838286517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132363 (or 132355 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 20838286517664 in words is "twenty trillion, eight hundred thirty-eight billion, two hundred eighty-six million, five hundred seventeen thousand, six hundred sixty-four".