20753523777756 has 288 divisors, whose sum is σ = 63777089101824. Its totient is φ = 5131706025600.

The previous prime is 20753523777751. The next prime is 20753523777757. The reversal of 20753523777756 is 65777732535702.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20753523777751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49115521 + ... + 49536263.

It is an arithmetic number, because the mean of its divisors is an integer number (221448226048).

Almost surely, 2^{20753523777756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20753523777756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31888544550912).

20753523777756 is an abundant number, since it is smaller than the sum of its proper divisors (43023565324068).

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

20753523777756 is a wasteful number, since it uses less digits than its factorization.

20753523777756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421013 (or 421000 counting only the distinct ones).

The product of its (nonzero) digits is 453789000, while the sum is 66.

The spelling of 20753523777756 in words is "twenty trillion, seven hundred fifty-three billion, five hundred twenty-three million, seven hundred seventy-seven thousand, seven hundred fifty-six".