20242807200000 has 2160 divisors, whose sum is σ = 94085302405248. Its totient is φ = 4205260800000.

The previous prime is 20242807199981. The next prime is 20242807200061. The reversal of 20242807200000 is 270824202.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4989597972 + ... + 4989602028.

Almost surely, 2^{20242807200000} is an apocalyptic number.

20242807200000 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 20242807200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47042651202624).

20242807200000 is an abundant number, since it is smaller than the sum of its proper divisors (73842495205248).

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

20242807200000 is an frugal number, since it uses more digits than its factorization.

20242807200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 20242807200000 in words is "twenty trillion, two hundred forty-two billion, eight hundred seven million, two hundred thousand".