13436928000 has 540 divisors, whose sum is σ = 50303767332. Its totient is φ = 3583180800.

The previous prime is 13436927981. The next prime is 13436928019. The reversal of 13436928000 is 82963431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (3!)².

13436928000 is a `hidden beast` number, since 13 + 4 + 369 + 280 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13436927981) and next prime (13436928019).

It can be written as a sum of positive squares in 2 ways, for example, as 429981696 + 13006946304 = 20736^2 + 114048^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2687385598 + ... + 2687385602.

Almost surely, 2^13436928000 is an apocalyptic number.

13436928000 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 13436928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151883666).

13436928000 is an abundant number, since it is smaller than the sum of its proper divisors (36866839332).

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

13436928000 is an frugal number, since it uses more digits than its factorization.

13436928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

13436928000 divided by its sum of digits (36) gives a cube (373248000 = 720³).

The spelling of 13436928000 in words is "thirteen billion, four hundred thirty-six million, nine hundred twenty-eight thousand".