13506948000 has 1728 divisors, whose sum is σ = 65251630080. Its totient is φ = 2612736000.

The previous prime is 13506947999. The next prime is 13506948023. The reversal of 13506948000 is 84960531.

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 287 ways as a sum of consecutive naturals, for example, 435707985 + ... + 435708015.

It is an arithmetic number, because the mean of its divisors is an integer number (37761360).

Almost surely, 2^13506948000 is an apocalyptic number.

13506948000 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 13506948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32625815040).

13506948000 is an abundant number, since it is smaller than the sum of its proper divisors (51744682080).

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

13506948000 is a wasteful number, since it uses less digits than its factorization.

13506948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13506948000 in words is "thirteen billion, five hundred six million, nine hundred forty-eight thousand".