20213100642528 has 288 divisors, whose sum is σ = 59766798218400. Its totient is φ = 6472213106688.

The previous prime is 20213100642487. The next prime is 20213100642529. The reversal of 20213100642528 is 82524600131202.

20213100642528 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 3 + 1 + 0 + 0 + 642 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20213100642492 and 20213100642501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213100642529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640268175 + ... + 1640280497.

It is an arithmetic number, because the mean of its divisors is an integer number (207523604925).

Almost surely, 2^{20213100642528} 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 20213100642528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29883399109200).

20213100642528 is an abundant number, since it is smaller than the sum of its proper divisors (39553697575872).

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

20213100642528 is a wasteful number, since it uses less digits than its factorization.

20213100642528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20213100642528 in words is "twenty trillion, two hundred thirteen billion, one hundred million, six hundred forty-two thousand, five hundred twenty-eight".