20523145104 has 360 divisors, whose sum is σ = 73731396960. Its totient is φ = 5269017600.

The previous prime is 20523145099. The next prime is 20523145117. The reversal of 20523145104 is 40154132502.

20523145104 is a `hidden beast` number, since 20 + 523 + 14 + 5 + 104 = 666.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6906339 + ... + 6909309.

It is an arithmetic number, because the mean of its divisors is an integer number (204809436).

Almost surely, 2^20523145104 is an apocalyptic number.

20523145104 is a gapful number since it is divisible by the number (24) 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 20523145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36865698480).

20523145104 is an abundant number, since it is smaller than the sum of its proper divisors (53208251856).

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

20523145104 is a wasteful number, since it uses less digits than its factorization.

20523145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3083 counting only the distinct ones).

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

Adding to 20523145104 its reverse (40154132502), we get a palindrome (60677277606).

The spelling of 20523145104 in words is "twenty billion, five hundred twenty-three million, one hundred forty-five thousand, one hundred four".