12725764733760 has 336 divisors, whose sum is σ = 44176233988224. Its totient is φ = 3102079279104.

The previous prime is 12725764733729. The next prime is 12725764733783. The reversal of 12725764733760 is 6733746752721.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12725764733694 and 12725764733703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16329954 + ... + 17091486.

Almost surely, 2^{12725764733760} is an apocalyptic number.

12725764733760 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 12725764733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088116994112).

12725764733760 is an abundant number, since it is smaller than the sum of its proper divisors (31450469254464).

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

12725764733760 is a wasteful number, since it uses less digits than its factorization.

12725764733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761682 (or 761659 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 60.

The spelling of 12725764733760 in words is "twelve trillion, seven hundred twenty-five billion, seven hundred sixty-four million, seven hundred thirty-three thousand, seven hundred sixty".