12610400000 has 216 divisors, whose sum is σ = 34346582928. Its totient is φ = 4582400000.

The previous prime is 12610399979. The next prime is 12610400027. The reversal of 12610400000 is 401621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799284 + ... + 8800716.

It is an arithmetic number, because the mean of its divisors is an integer number (159011958).

Almost surely, 2^12610400000 is an apocalyptic number.

12610400000 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 12610400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173291464).

12610400000 is an abundant number, since it is smaller than the sum of its proper divisors (21736182928).

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

12610400000 is an frugal number, since it uses more digits than its factorization.

12610400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12610400000 its reverse (401621), we get a palindrome (12610801621).

The spelling of 12610400000 in words is "twelve billion, six hundred ten million, four hundred thousand".