20523101400252 has 192 divisors, whose sum is σ = 58494237742080. Its totient is φ = 6171133132800.

The previous prime is 20523101400227. The next prime is 20523101400253. The reversal of 20523101400252 is 25200410132502.

20523101400252 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 3 + 1 + 0 + 1 + 400 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523101400253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114384852 + ... + 114564132.

It is an arithmetic number, because the mean of its divisors is an integer number (304657488240).

Almost surely, 2^{20523101400252} is an apocalyptic number.

20523101400252 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 20523101400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29247118871040).

20523101400252 is an abundant number, since it is smaller than the sum of its proper divisors (37971136341828).

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

20523101400252 is a wasteful number, since it uses less digits than its factorization.

20523101400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180049 (or 180041 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20523101400252 its reverse (25200410132502), we get a palindrome (45723511532754).

The spelling of 20523101400252 in words is "twenty trillion, five hundred twenty-three billion, one hundred one million, four hundred thousand, two hundred fifty-two".