20188079338240 has 288 divisors, whose sum is σ = 55868114836800. Its totient is φ = 6907782758400.

The previous prime is 20188079338199. The next prime is 20188079338247. The reversal of 20188079338240 is 4283397088102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (20188079338247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092240936 + ... + 2092250584.

It is an arithmetic number, because the mean of its divisors is an integer number (193986509850).

Almost surely, 2^{20188079338240} is an apocalyptic number.

20188079338240 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 20188079338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27934057418400).

20188079338240 is an abundant number, since it is smaller than the sum of its proper divisors (35680035498560).

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

20188079338240 is a wasteful number, since it uses less digits than its factorization.

20188079338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18439 (or 18425 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 20188079338240 in words is "twenty trillion, one hundred eighty-eight billion, seventy-nine million, three hundred thirty-eight thousand, two hundred forty".