20523232121440 has 192 divisors, whose sum is σ = 53115846759360. Its totient is φ = 7458940518400.

The previous prime is 20523232121429. The next prime is 20523232121461. The reversal of 20523232121440 is 4412123232502.

It is a happy number.

20523232121440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×20523232121440³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801644640 + ... + 801670240.

It is an arithmetic number, because the mean of its divisors is an integer number (276645035205).

Almost surely, 2^{20523232121440} is an apocalyptic number.

20523232121440 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 20523232121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557923379680).

20523232121440 is an abundant number, since it is smaller than the sum of its proper divisors (32592614637920).

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

20523232121440 is a wasteful number, since it uses less digits than its factorization.

20523232121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35825 (or 35817 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 20523232121440 its reverse (4412123232502), we get a palindrome (24935355353942).

The spelling of 20523232121440 in words is "twenty trillion, five hundred twenty-three billion, two hundred thirty-two million, one hundred twenty-one thousand, four hundred forty".