20437248000000 has 1680 divisors, whose sum is σ = 77411046625920. Its totient is φ = 4757913600000.

The previous prime is 20437247999983. The next prime is 20437248000007. The reversal of 20437248000000 is 84273402.

It is a super-2 number, since 2×20437248000000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20437248000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 229631999956 + ... + 229632000044.

It is an arithmetic number, because the mean of its divisors is an integer number (46078003944).

Almost surely, 2^{20437248000000} is an apocalyptic number.

20437248000000 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 20437248000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38705523312960).

20437248000000 is an abundant number, since it is smaller than the sum of its proper divisors (56973798625920).

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

20437248000000 is an frugal number, since it uses more digits than its factorization.

20437248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 20437248000000 in words is "twenty trillion, four hundred thirty-seven billion, two hundred forty-eight million", and thus it is an aban number.