20531605248 has 810 divisors, whose sum is σ = 78748456248. Its totient is φ = 5300951040.

The previous prime is 20531605229. The next prime is 20531605249. The reversal of 20531605248 is 84250613502.

20531605248 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 1 + 605 + 2 + 48 = 666.

It is a super-2 number, since 2×20531605248² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20531605249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 122943661 + ... + 122943827.

Almost surely, 2^20531605248 is an apocalyptic number.

20531605248 is a gapful number since it is divisible by the number (28) 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 20531605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39374228124).

20531605248 is an abundant number, since it is smaller than the sum of its proper divisors (58216851000).

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

20531605248 is a wasteful number, since it uses less digits than its factorization.

20531605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20531605248 in words is "twenty billion, five hundred thirty-one million, six hundred five thousand, two hundred forty-eight".