12755237040 has 960 divisors, whose sum is σ = 56058912000. Its totient is φ = 2579447808.

The previous prime is 12755237021. The next prime is 12755237083. The reversal of 12755237040 is 4073255721.

12755237040 is a `hidden beast` number, since 1 + 27 + 5 + 523 + 70 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12755236986 and 12755237004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93103852 + ... + 93103988.

It is an arithmetic number, because the mean of its divisors is an integer number (58394700).

Almost surely, 2^12755237040 is an apocalyptic number.

12755237040 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 12755237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029456000).

12755237040 is an abundant number, since it is smaller than the sum of its proper divisors (43303674960).

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

12755237040 is a wasteful number, since it uses less digits than its factorization.

12755237040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 12755237040 in words is "twelve billion, seven hundred fifty-five million, two hundred thirty-seven thousand, forty".