13516714400 has 144 divisors (see below), whose sum is σ = 39012503040. Its totient is φ = 4474444800.

The previous prime is 13516714369. The next prime is 13516714427. The reversal of 13516714400 is 441761531.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 120785 + ... + 204015.

It is an arithmetic number, because the mean of its divisors is an integer number (270920160).

Almost surely, 2^13516714400 is an apocalyptic number.

13516714400 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 13516714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506251520).

13516714400 is an abundant number, since it is smaller than the sum of its proper divisors (25495788640).

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

13516714400 is a wasteful number, since it uses less digits than its factorization.

13516714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83287 (or 83274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 13516714400 in words is "thirteen billion, five hundred sixteen million, seven hundred fourteen thousand, four hundred".