20539434240 has 864 divisors, whose sum is σ = 81960802560. Its totient is φ = 4710334464.

The previous prime is 20539434211. The next prime is 20539434271. The reversal of 20539434240 is 4243493502.

20539434240 is a `hidden beast` number, since 2 + 0 + 539 + 43 + 42 + 40 = 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 = 20539434195 and 20539434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230780116 + ... + 230780204.

It is an arithmetic number, because the mean of its divisors is an integer number (94862040).

Almost surely, 2^20539434240 is an apocalyptic number.

20539434240 is a gapful number since it is divisible by the number (20) 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 20539434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40980401280).

20539434240 is an abundant number, since it is smaller than the sum of its proper divisors (61421368320).

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

20539434240 is a wasteful number, since it uses less digits than its factorization.

20539434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20539434240 in words is "twenty billion, five hundred thirty-nine million, four hundred thirty-four thousand, two hundred forty".