20213621777024 has 128 divisors (see below), whose sum is σ = 43580675754000. Its totient is φ = 9283501817856.

The previous prime is 20213621777009. The next prime is 20213621777123. The reversal of 20213621777024 is 42077712631202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11279979010624 + 8933642766400 = 3358568^2 + 2988920^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278645462 + ... + 278717994.

Almost surely, 2^{20213621777024} 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 20213621777024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790337877000).

20213621777024 is an abundant number, since it is smaller than the sum of its proper divisors (23367053976976).

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

20213621777024 is a wasteful number, since it uses less digits than its factorization.

20213621777024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73382 (or 73370 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 20213621777024 in words is "twenty trillion, two hundred thirteen billion, six hundred twenty-one million, seven hundred seventy-seven thousand, twenty-four".