20748827868912 has 1200 divisors, whose sum is σ = 75048925311360. Its totient is φ = 5482173312000.

The previous prime is 20748827868877. The next prime is 20748827868913. The reversal of 20748827868912 is 21986872884702.

20748827868912 is a `hidden beast` number, since 2 + 0 + 7 + 488 + 2 + 78 + 68 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20748827868913) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19018173487 + ... + 19018174577.

Almost surely, 2^{20748827868912} is an apocalyptic number.

20748827868912 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 20748827868912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37524462655680).

20748827868912 is an abundant number, since it is smaller than the sum of its proper divisors (54300097442448).

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

20748827868912 is a wasteful number, since it uses less digits than its factorization.

20748827868912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 20748827868912 in words is "twenty trillion, seven hundred forty-eight billion, eight hundred twenty-seven million, eight hundred sixty-eight thousand, nine hundred twelve".