12760641653760 has 1584 divisors, whose sum is σ = 60427620987552. Its totient is φ = 2447533670400.

The previous prime is 12760641653759. The next prime is 12760641653807. The reversal of 12760641653760 is 6735614606721.

12760641653760 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 0 + 6 + 41 + 6 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a junction number, because it is equal to n+sod(n) for n = 12760641653697 and 12760641653706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322862800 + ... + 322902320.

Almost surely, 2^{12760641653760} is an apocalyptic number.

12760641653760 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 12760641653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213810493776).

12760641653760 is an abundant number, since it is smaller than the sum of its proper divisors (47666979333792).

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

12760641653760 is a wasteful number, since it uses less digits than its factorization.

12760641653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39590 (or 39562 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 12760641653760 in words is "twelve trillion, seven hundred sixty billion, six hundred forty-one million, six hundred fifty-three thousand, seven hundred sixty".