13526440046000 has 160 divisors (see below), whose sum is σ = 37388973952512. Its totient is φ = 4636442668800.

The previous prime is 13526440045991. The next prime is 13526440046027. The reversal of 13526440046000 is 64004462531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55135607 + ... + 55380393.

Almost surely, 2^{13526440046000} is an apocalyptic number.

13526440046000 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 13526440046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694486976256).

13526440046000 is an abundant number, since it is smaller than the sum of its proper divisors (23862533906512).

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

13526440046000 is a wasteful number, since it uses less digits than its factorization.

13526440046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248764 (or 248748 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 13526440046000 in words is "thirteen trillion, five hundred twenty-six billion, four hundred forty million, forty-six thousand".