13675216000 has 256 divisors, whose sum is σ = 35642880000. Its totient is φ = 5211648000.

The previous prime is 13675215991. The next prime is 13675216001. The reversal of 13675216000 is 61257631.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13675216001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39183826 + ... + 39184174.

It is an arithmetic number, because the mean of its divisors is an integer number (139230000).

Almost surely, 2^13675216000 is an apocalyptic number.

13675216000 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 13675216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440000).

13675216000 is an abundant number, since it is smaller than the sum of its proper divisors (21967664000).

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

13675216000 is an equidigital number, since it uses as much as digits as its factorization.

13675216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 13675216000 in words is "thirteen billion, six hundred seventy-five million, two hundred sixteen thousand".