20567623972896 has 1152 divisors, whose sum is σ = 81736005851136. Its totient is φ = 4913347092480.

The previous prime is 20567623972877. The next prime is 20567623972939. The reversal of 20567623972896 is 69827932676502.

It is a happy number.

20567623972896 is a `hidden beast` number, since 2 + 0 + 567 + 6 + 2 + 39 + 7 + 28 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2202803940 + ... + 2202813276.

It is an arithmetic number, because the mean of its divisors is an integer number (70951393968).

Almost surely, 2^{20567623972896} is an apocalyptic number.

20567623972896 is a gapful number since it is divisible by the number (26) 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 20567623972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40868002925568).

20567623972896 is an abundant number, since it is smaller than the sum of its proper divisors (61168381878240).

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

20567623972896 is a wasteful number, since it uses less digits than its factorization.

20567623972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 20567623972896 in words is "twenty trillion, five hundred sixty-seven billion, six hundred twenty-three million, nine hundred seventy-two thousand, eight hundred ninety-six".