13808280600 has 432 divisors, whose sum is σ = 51068885400. Its totient is φ = 3460008960.

The previous prime is 13808280569. The next prime is 13808280611. The reversal of 13808280600 is 608280831.

It is a super-2 number, since 2×13808280600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22307091 + ... + 22307709.

Almost surely, 2^13808280600 is an apocalyptic number.

13808280600 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 13808280600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534442700).

13808280600 is an abundant number, since it is smaller than the sum of its proper divisors (37260604800).

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

13808280600 is an equidigital number, since it uses as much as digits as its factorization.

13808280600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13808280600 in words is "thirteen billion, eight hundred eight million, two hundred eighty thousand, six hundred".