20406528648 has 192 divisors, whose sum is σ = 63567504000. Its totient is φ = 5853450240.

The previous prime is 20406528641. The next prime is 20406528673. The reversal of 20406528648 is 84682560402.

20406528648 is a `hidden beast` number, since 20 + 40 + 6 + 528 + 64 + 8 = 666.

It is a super-2 number, since 2×20406528648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20406528641) 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 47 ways as a sum of consecutive naturals, for example, 1761178 + ... + 1772726.

It is an arithmetic number, because the mean of its divisors is an integer number (331080750).

Almost surely, 2^20406528648 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 20406528648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783752000).

20406528648 is an abundant number, since it is smaller than the sum of its proper divisors (43160975352).

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

20406528648 is a wasteful number, since it uses less digits than its factorization.

20406528648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 2040652 and 8648, that added together give a triangular number (2049300 = T₂₀₂₄).

The spelling of 20406528648 in words is "twenty billion, four hundred six million, five hundred twenty-eight thousand, six hundred forty-eight".