20738813755968 has 2464 divisors, whose sum is σ = 84317187809280. Its totient is φ = 4938574924800.

The previous prime is 20738813755951. The next prime is 20738813755981. The reversal of 20738813755968 is 86955731883702.

20738813755968 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 8 + 8 + 1 + 3 + 7 + 559 + 68 = 666.

20738813755968 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2464).

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

It is a junction number, because it is equal to n+sod(n) for n = 20738813755896 and 20738813755905.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 668993992113 + ... + 668993992143.

Almost surely, 2^{20738813755968} is an apocalyptic number.

20738813755968 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 20738813755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42158593904640).

20738813755968 is an abundant number, since it is smaller than the sum of its proper divisors (63578374053312).

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

20738813755968 is an frugal number, since it uses more digits than its factorization.

20738813755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 20738813755968 in words is "twenty trillion, seven hundred thirty-eight billion, eight hundred thirteen million, seven hundred fifty-five thousand, nine hundred sixty-eight".