20527424028 has 168 divisors, whose sum is σ = 56240358720. Its totient is φ = 6546303360.

The previous prime is 20527424009. The next prime is 20527424033. The reversal of 20527424028 is 82042472502.

20527424028 is a `hidden beast` number, since 205 + 2 + 7 + 42 + 402 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 20527423983 and 20527424001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6579853 + ... + 6582971.

It is an arithmetic number, because the mean of its divisors is an integer number (334764040).

Almost surely, 2^20527424028 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 20527424028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28120179360).

20527424028 is an abundant number, since it is smaller than the sum of its proper divisors (35712934692).

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

20527424028 is a wasteful number, since it uses less digits than its factorization.

20527424028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20527424028 in words is "twenty billion, five hundred twenty-seven million, four hundred twenty-four thousand, twenty-eight".