12542733360 has 200 divisors, whose sum is σ = 43908665856. Its totient is φ = 3318174720.

The previous prime is 12542733347. The next prime is 12542733361. The reversal of 12542733360 is 6333724521.

12542733360 is a `hidden beast` number, since 1 + 2 + 54 + 273 + 336 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12542733361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 815340 + ... + 830580.

Almost surely, 2^12542733360 is an apocalyptic number.

12542733360 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 12542733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954332928).

12542733360 is an abundant number, since it is smaller than the sum of its proper divisors (31365932496).

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

12542733360 is a wasteful number, since it uses less digits than its factorization.

12542733360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15378 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 12542733360 in words is "twelve billion, five hundred forty-two million, seven hundred thirty-three thousand, three hundred sixty".