20540349312 has 128 divisors (see below), whose sum is σ = 64040202240. Its totient is φ = 5710030848.

The previous prime is 20540349307. The next prime is 20540349317. The reversal of 20540349312 is 21394304502.

It is an interprime number because it is at equal distance from previous prime (20540349307) and next prime (20540349317).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20540349317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3808 + ... + 202719.

It is an arithmetic number, because the mean of its divisors is an integer number (500314080).

Almost surely, 2^20540349312 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 20540349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32020101120).

20540349312 is an abundant number, since it is smaller than the sum of its proper divisors (43499852928).

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

20540349312 is a wasteful number, since it uses less digits than its factorization.

20540349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206588 (or 206576 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 20540349312 in words is "twenty billion, five hundred forty million, three hundred forty-nine thousand, three hundred twelve".