20672231286168 has 1280 divisors, whose sum is σ = 78169639680000. Its totient is φ = 4943296512000.

The previous prime is 20672231286137. The next prime is 20672231286181. The reversal of 20672231286168 is 86168213227602.

20672231286168 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 2 + 2 + 3 + 12 + 8 + 616 + 8 = 666.

It is a super-2 number, since 2×20672231286168² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13345532658 + ... + 13345534206.

It is an arithmetic number, because the mean of its divisors is an integer number (61070031000).

Almost surely, 2^{20672231286168} is an apocalyptic number.

20672231286168 is a gapful number since it is divisible by the number (28) 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 20672231286168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39084819840000).

20672231286168 is an abundant number, since it is smaller than the sum of its proper divisors (57497408393832).

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

20672231286168 is a wasteful number, since it uses less digits than its factorization.

20672231286168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20672231286168 in words is "twenty trillion, six hundred seventy-two billion, two hundred thirty-one million, two hundred eighty-six thousand, one hundred sixty-eight".