12758011600 has 120 divisors (see below), whose sum is σ = 31310141112. Its totient is φ = 4993996800.

The previous prime is 12758011583. The next prime is 12758011601. The reversal of 12758011600 is 611085721.

It can be written as a sum of positive squares in 12 ways, for example, as 603390096 + 12154621504 = 24564^2 + 110248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12758011601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15539190 + ... + 15540010.

Almost surely, 2^12758011600 is an apocalyptic number.

12758011600 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 12758011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655070556).

12758011600 is an abundant number, since it is smaller than the sum of its proper divisors (18552129512).

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

12758011600 is a wasteful number, since it uses less digits than its factorization.

12758011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 12758011600 in words is "twelve billion, seven hundred fifty-eight million, eleven thousand, six hundred".