13578408000 has 448 divisors, whose sum is σ = 51194208000. Its totient is φ = 3520972800.

The previous prime is 13578407987. The next prime is 13578408017. The reversal of 13578408000 is 80487531.

13578408000 is a `hidden beast` number, since 1 + 3 + 578 + 4 + 0 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7991151 + ... + 7992849.

Almost surely, 2^13578408000 is an apocalyptic number.

13578408000 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 13578408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25597104000).

13578408000 is an abundant number, since it is smaller than the sum of its proper divisors (37615800000).

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

13578408000 is a wasteful number, since it uses less digits than its factorization.

13578408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13578408000 in words is "thirteen billion, five hundred seventy-eight million, four hundred eight thousand".