12724277575680 has 1024 divisors, whose sum is σ = 49827571200000. Its totient is φ = 3055099576320.

The previous prime is 12724277575661. The next prime is 12724277575717. The reversal of 12724277575680 is 8657577242721.

12724277575680 is a `hidden beast` number, since 1 + 2 + 72 + 427 + 75 + 75 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5303991121 + ... + 5303993519.

It is an arithmetic number, because the mean of its divisors is an integer number (48659737500).

Almost surely, 2^{12724277575680} is an apocalyptic number.

12724277575680 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 12724277575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913785600000).

12724277575680 is an abundant number, since it is smaller than the sum of its proper divisors (37103293624320).

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

12724277575680 is a wasteful number, since it uses less digits than its factorization.

12724277575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 12724277575680 in words is "twelve trillion, seven hundred twenty-four billion, two hundred seventy-seven million, five hundred seventy-five thousand, six hundred eighty".