13491878400 has 1800 divisors, whose sum is σ = 67413212064. Its totient is φ = 2587852800.

The previous prime is 13491878377. The next prime is 13491878417. The reversal of 13491878400 is 487819431.

It is a happy number.

13491878400 is a `hidden beast` number, since 1 + 3 + 491 + 87 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1037836794 + ... + 1037836806.

Almost surely, 2^13491878400 is an apocalyptic number.

13491878400 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 13491878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33706606032).

13491878400 is an abundant number, since it is smaller than the sum of its proper divisors (53921333664).

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

13491878400 is a wasteful number, since it uses less digits than its factorization.

13491878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13491878400 in words is "thirteen billion, four hundred ninety-one million, eight hundred seventy-eight thousand, four hundred".