20988979200000 has 2160 divisors, whose sum is σ = 90193586491008. Its totient is φ = 4777574400000.

The previous prime is 20988979199933. The next prime is 20988979200001. The reversal of 20988979200000 is 297988902.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20988979200000.

It is not an unprimeable number, because it can be changed into a prime (20988979200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87091199880 + ... + 87091200120.

Almost surely, 2^{20988979200000} is an apocalyptic number.

20988979200000 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 20988979200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45096793245504).

20988979200000 is an abundant number, since it is smaller than the sum of its proper divisors (69204607291008).

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

20988979200000 is an frugal number, since it uses more digits than its factorization.

20988979200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 20988979200000 in words is "twenty trillion, nine hundred eighty-eight billion, nine hundred seventy-nine million, two hundred thousand".