20540588640 has 768 divisors, whose sum is σ = 83398533120. Its totient is φ = 4170055680.

The previous prime is 20540588581. The next prime is 20540588683. The reversal of 20540588640 is 4688504502.

It is a junction number, because it is equal to n+sod(n) for n = 20540588592 and 20540588601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33839217 + ... + 33839823.

It is an arithmetic number, because the mean of its divisors is an integer number (108591840).

Almost surely, 2^20540588640 is an apocalyptic number.

20540588640 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 20540588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41699266560).

20540588640 is an abundant number, since it is smaller than the sum of its proper divisors (62857944480).

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

20540588640 is a wasteful number, since it uses less digits than its factorization.

20540588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 20540588640 in words is "twenty billion, five hundred forty million, five hundred eighty-eight thousand, six hundred forty".