13788422266920 has 1024 divisors, whose sum is σ = 52189924147200. Its totient is φ = 2842656768000.

The previous prime is 13788422266859. The next prime is 13788422266951. The reversal of 13788422266920 is 2966222488731.

It is a super-2 number, since 2×13788422266920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17001753315 + ... + 17001754125.

It is an arithmetic number, because the mean of its divisors is an integer number (50966722800).

Almost surely, 2^{13788422266920} is an apocalyptic number.

13788422266920 is a gapful number since it is divisible by the number (10) 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 13788422266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26094962073600).

13788422266920 is an abundant number, since it is smaller than the sum of its proper divisors (38401501880280).

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

13788422266920 is a wasteful number, since it uses less digits than its factorization.

13788422266920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 13788422266920 in words is "thirteen trillion, seven hundred eighty-eight billion, four hundred twenty-two million, two hundred sixty-six thousand, nine hundred twenty".