20988523415200 has 648 divisors, whose sum is σ = 58205711283552. Its totient is φ = 7384608000000.

The previous prime is 20988523415183. The next prime is 20988523415203. The reversal of 20988523415200 is 251432588902.

It is not an unprimeable number, because it can be changed into a prime (20988523415203) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33262318885 + ... + 33262319515.

It is an arithmetic number, because the mean of its divisors is an integer number (89823628524).

Almost surely, 2^{20988523415200} is an apocalyptic number.

20988523415200 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 20988523415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102855641776).

20988523415200 is an abundant number, since it is smaller than the sum of its proper divisors (37217187868352).

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

20988523415200 is a wasteful number, since it uses less digits than its factorization.

20988523415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 20988523415200 in words is "twenty trillion, nine hundred eighty-eight billion, five hundred twenty-three million, four hundred fifteen thousand, two hundred".