20540416512 has 160 divisors (see below), whose sum is σ = 68223919104. Its totient is φ = 5335142400.

The previous prime is 20540416489. The next prime is 20540416513. The reversal of 20540416512 is 21561404502.

It is a super-2 number, since 2×20540416512² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20540416512.

It is not an unprimeable number, because it can be changed into a prime (20540416513) 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, 31437 + ... + 205107.

Almost surely, 2^20540416512 is an apocalyptic number.

20540416512 is a gapful number since it is divisible by the number (22) 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 20540416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111959552).

20540416512 is an abundant number, since it is smaller than the sum of its proper divisors (47683502592).

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

20540416512 is a wasteful number, since it uses less digits than its factorization.

20540416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173710 (or 173694 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 20540416512 in words is "twenty billion, five hundred forty million, four hundred sixteen thousand, five hundred twelve".