20520023456100 has 864 divisors, whose sum is σ = 74003379480576. Its totient is φ = 4361701478400.

The previous prime is 20520023456099. The next prime is 20520023456111. The reversal of 20520023456100 is 165432002502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20874896209 + ... + 20874897191.

It is an arithmetic number, because the mean of its divisors is an integer number (85652059584).

Almost surely, 2^{20520023456100} is an apocalyptic number.

20520023456100 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 20520023456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37001689740288).

20520023456100 is an abundant number, since it is smaller than the sum of its proper divisors (53483356024476).

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

20520023456100 is a wasteful number, since it uses less digits than its factorization.

20520023456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 20520023456100 its reverse (165432002502), we get a palindrome (20685455458602).

The spelling of 20520023456100 in words is "twenty trillion, five hundred twenty billion, twenty-three million, four hundred fifty-six thousand, one hundred".