13494680400 has 120 divisors (see below), whose sum is σ = 43267664224. Its totient is φ = 3595276800.

The previous prime is 13494680399. The next prime is 13494680453. The reversal of 13494680400 is 408649431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479855 + ... + 1488945.

Almost surely, 2^13494680400 is an apocalyptic number.

13494680400 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 13494680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633832112).

13494680400 is an abundant number, since it is smaller than the sum of its proper divisors (29772983824).

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

13494680400 is a wasteful number, since it uses less digits than its factorization.

13494680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13494680400 in words is "thirteen billion, four hundred ninety-four million, six hundred eighty thousand, four hundred".