13678156800 has 1056 divisors, whose sum is σ = 62868119040. Its totient is φ = 2831155200.

The previous prime is 13678156777. The next prime is 13678156813. The reversal of 13678156800 is 865187631.

13678156800 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 81 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53222272 + ... + 53222528.

Almost surely, 2^13678156800 is an apocalyptic number.

13678156800 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 13678156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434059520).

13678156800 is an abundant number, since it is smaller than the sum of its proper divisors (49189962240).

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

13678156800 is a wasteful number, since it uses less digits than its factorization.

13678156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13678156800 in words is "thirteen billion, six hundred seventy-eight million, one hundred fifty-six thousand, eight hundred".