13526016000 has 896 divisors, whose sum is σ = 55940212224. Its totient is φ = 2831155200.

The previous prime is 13526015999. The next prime is 13526016011. The reversal of 13526016000 is 61062531.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365567982 + ... + 365568018.

Almost surely, 2^13526016000 is an apocalyptic number.

13526016000 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 13526016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970106112).

13526016000 is an abundant number, since it is smaller than the sum of its proper divisors (42414196224).

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

13526016000 is an equidigital number, since it uses as much as digits as its factorization.

13526016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13526016000 its reverse (61062531), we get a palindrome (13587078531).

The spelling of 13526016000 in words is "thirteen billion, five hundred twenty-six million, sixteen thousand".