20754271813968 has 720 divisors, whose sum is σ = 78022306252800. Its totient is φ = 5078402542080.

The previous prime is 20754271813937. The next prime is 20754271813999. The reversal of 20754271813968 is 86931817245702.

20754271813968 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 427 + 18 + 139 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (20754271813937) and next prime (20754271813999).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263932705 + ... + 264011327.

It is an arithmetic number, because the mean of its divisors is an integer number (108364314240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20754271813968 = 41508543627936, but 3⋅20754271813968 = 62262815441904 is not.

Almost surely, 2^{20754271813968} is an apocalyptic number.

20754271813968 is a gapful number since it is divisible by the number (28) 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 20754271813968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39011153126400).

20754271813968 is an abundant number, since it is smaller than the sum of its proper divisors (57268034438832).

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

20754271813968 is a wasteful number, since it uses less digits than its factorization.

20754271813968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78860 (or 78844 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 20754271813968 in words is "twenty trillion, seven hundred fifty-four billion, two hundred seventy-one million, eight hundred thirteen thousand, nine hundred sixty-eight".