12760710000 has 400 divisors, whose sum is σ = 44179458048. Its totient is φ = 3161600000.

The previous prime is 12760709993. The next prime is 12760710041. The reversal of 12760710000 is 1706721.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66809905 + ... + 66810095.

Almost surely, 2^12760710000 is an apocalyptic number.

12760710000 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 12760710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089729024).

12760710000 is an abundant number, since it is smaller than the sum of its proper divisors (31418748048).

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

12760710000 is a wasteful number, since it uses less digits than its factorization.

12760710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The spelling of 12760710000 in words is "twelve billion, seven hundred sixty million, seven hundred ten thousand".