20326894174080 has 1152 divisors, whose sum is σ = 78793110339840. Its totient is φ = 4821457305600.

The previous prime is 20326894174079. The next prime is 20326894174163. The reversal of 20326894174080 is 8047149862302.

20326894174080 is a `hidden beast` number, since 2 + 0 + 32 + 6 + 89 + 417 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7755395170 + ... + 7755397790.

It is an arithmetic number, because the mean of its divisors is an integer number (68396797170).

Almost surely, 2^{20326894174080} is an apocalyptic number.

20326894174080 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 20326894174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39396555169920).

20326894174080 is an abundant number, since it is smaller than the sum of its proper divisors (58466216165760).

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

20326894174080 is a wasteful number, since it uses less digits than its factorization.

20326894174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2932 counting only the distinct ones).

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

The spelling of 20326894174080 in words is "twenty trillion, three hundred twenty-six billion, eight hundred ninety-four million, one hundred seventy-four thousand, eighty".