12575240064 has 256 divisors, whose sum is σ = 38934950400. Its totient is φ = 3988131840.

The previous prime is 12575240033. The next prime is 12575240081. The reversal of 12575240064 is 46004257521.

It is a happy number.

12575240064 is a `hidden beast` number, since 1 + 2 + 575 + 24 + 0 + 0 + 64 = 666.

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 31 ways as a sum of consecutive naturals, for example, 22335847 + ... + 22336409.

It is an arithmetic number, because the mean of its divisors is an integer number (152089650).

Almost surely, 2^12575240064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19467475200).

12575240064 is an abundant number, since it is smaller than the sum of its proper divisors (26359710336).

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

12575240064 is a wasteful number, since it uses less digits than its factorization.

12575240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 12575240064 its reverse (46004257521), we get a palindrome (58579497585).

The spelling of 12575240064 in words is "twelve billion, five hundred seventy-five million, two hundred forty thousand, sixty-four".