13882420800 has 252 divisors, whose sum is σ = 49736467456. Its totient is φ = 3672345600.

The previous prime is 13882420733. The next prime is 13882420801. The reversal of 13882420800 is 802428831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13882420801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1825005 + ... + 1832595.

Almost surely, 2^13882420800 is an apocalyptic number.

13882420800 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 13882420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24868233728).

13882420800 is an abundant number, since it is smaller than the sum of its proper divisors (35854046656).

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

13882420800 is a wasteful number, since it uses less digits than its factorization.

13882420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 13882420800 in words is "thirteen billion, eight hundred eighty-two million, four hundred twenty thousand, eight hundred".