20752285086720 has 4224 divisors, whose sum is σ = 94842665164800. Its totient is φ = 4264993751040.

The previous prime is 20752285086713. The next prime is 20752285086751. The reversal of 20752285086720 is 2768058225702.

20752285086720 is a `hidden beast` number, since 2 + 0 + 7 + 52 + 2 + 8 + 508 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 124265180077 + ... + 124265180243.

Almost surely, 2^{20752285086720} is an apocalyptic number.

20752285086720 is a gapful number since it is divisible by the number (20) 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 20752285086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47421332582400).

20752285086720 is an abundant number, since it is smaller than the sum of its proper divisors (74090380078080).

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

20752285086720 is a wasteful number, since it uses less digits than its factorization.

20752285086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 20752285086720 in words is "twenty trillion, seven hundred fifty-two billion, two hundred eighty-five million, eighty-six thousand, seven hundred twenty".