20826785165472 has 960 divisors, whose sum is σ = 73323648921600. Its totient is φ = 5716146309120.

The previous prime is 20826785165467. The next prime is 20826785165581. The reversal of 20826785165472 is 27456158762802.

20826785165472 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 6 + 7 + 85 + 1 + 6 + 547 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4890062479 + ... + 4890066737.

It is an arithmetic number, because the mean of its divisors is an integer number (76378800960).

Almost surely, 2^{20826785165472} is an apocalyptic number.

20826785165472 is a gapful number since it is divisible by the number (22) 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 20826785165472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36661824460800).

20826785165472 is an abundant number, since it is smaller than the sum of its proper divisors (52496863756128).

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

20826785165472 is a wasteful number, since it uses less digits than its factorization.

20826785165472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 20826785165472 in words is "twenty trillion, eight hundred twenty-six billion, seven hundred eighty-five million, one hundred sixty-five thousand, four hundred seventy-two".