20528262144 has 264 divisors, whose sum is σ = 67596197760. Its totient is φ = 5944246272.

The previous prime is 20528262137. The next prime is 20528262149. The reversal of 20528262144 is 44126282502.

20528262144 is a `hidden beast` number, since 2 + 0 + 5 + 28 + 2 + 621 + 4 + 4 = 666.

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 = 20528262099 and 20528262108.

It is not an unprimeable number, because it can be changed into a prime (20528262149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2031697 + ... + 2041775.

Almost surely, 2^20528262144 is an apocalyptic number.

20528262144 is a gapful number since it is divisible by the number (24) 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 20528262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33798098880).

20528262144 is an abundant number, since it is smaller than the sum of its proper divisors (47067935616).

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

20528262144 is a wasteful number, since it uses less digits than its factorization.

20528262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20528262144 in words is "twenty billion, five hundred twenty-eight million, two hundred sixty-two thousand, one hundred forty-four".