13215456000 has 216 divisors, whose sum is σ = 47554101504. Its totient is φ = 3524044800.

The previous prime is 13215455951. The next prime is 13215456013. The reversal of 13215456000 is 65451231.

13215456000 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 54 + 5 + 600 + 0 = 666.

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, 265057 + ... + 310943.

Almost surely, 2^13215456000 is an apocalyptic number.

13215456000 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 13215456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777050752).

13215456000 is an abundant number, since it is smaller than the sum of its proper divisors (34338645504).

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

13215456000 is an equidigital number, since it uses as much as digits as its factorization.

13215456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45924 (or 45897 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13215456000 in words is "thirteen billion, two hundred fifteen million, four hundred fifty-six thousand".