20540103727104 has 288 divisors, whose sum is σ = 67645012649760. Its totient is φ = 5948264153088.

The previous prime is 20540103727097. The next prime is 20540103727111. The reversal of 20540103727104 is 40172730104502.

20540103727104 is a `hidden beast` number, since 2 + 0 + 540 + 1 + 0 + 3 + 7 + 2 + 7 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (20540103727097) and next prime (20540103727111).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×20540103727104³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552269 + ... + 6594675.

It is an arithmetic number, because the mean of its divisors is an integer number (234878516145).

Almost surely, 2^{20540103727104} is an apocalyptic number.

20540103727104 is a gapful number since it is divisible by the number (24) 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 20540103727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33822506324880).

20540103727104 is an abundant number, since it is smaller than the sum of its proper divisors (47104908922656).

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

20540103727104 is a wasteful number, since it uses less digits than its factorization.

20540103727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042465 (or 5042442 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 20540103727104 in words is "twenty trillion, five hundred forty billion, one hundred three million, seven hundred twenty-seven thousand, one hundred four".