13540674800 has 60 divisors (see below), whose sum is σ = 32582374416. Its totient is φ = 5407795200.

The previous prime is 13540674739. The next prime is 13540674821. The reversal of 13540674800 is 847604531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232640 + ... + 284960.

Almost surely, 2^13540674800 is an apocalyptic number.

13540674800 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 13540674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291187208).

13540674800 is an abundant number, since it is smaller than the sum of its proper divisors (19041699616).

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

13540674800 is a wasteful number, since it uses less digits than its factorization.

13540674800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52986 (or 52975 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 13540674800 in words is "thirteen billion, five hundred forty million, six hundred seventy-four thousand, eight hundred".