20267582852088 has 1440 divisors, whose sum is σ = 72094065120000. Its totient is φ = 5297682424320.

The previous prime is 20267582852081. The next prime is 20267582852093. The reversal of 20267582852088 is 88025828576202.

20267582852088 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 7 + 5 + 8 + 28 + 520 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20267582852081) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 19889678443 + ... + 19889679461.

It is an arithmetic number, because the mean of its divisors is an integer number (50065323000).

Almost surely, 2^{20267582852088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20267582852088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36047032560000).

20267582852088 is an abundant number, since it is smaller than the sum of its proper divisors (51826482267912).

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

20267582852088 is a wasteful number, since it uses less digits than its factorization.

20267582852088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 20267582852088 in words is "twenty trillion, two hundred sixty-seven billion, five hundred eighty-two million, eight hundred fifty-two thousand, eighty-eight".