12705962538240 has 864 divisors, whose sum is σ = 46710586331136. Its totient is φ = 3305842606080.

The previous prime is 12705962538229. The next prime is 12705962538259. The reversal of 12705962538240 is 4283526950721.

12705962538240 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 9 + 62 + 538 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12705962538240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2409624244 + ... + 2409629516.

It is an arithmetic number, because the mean of its divisors is an integer number (54063178624).

It is a 1-persistent number, because it is pandigital, but 2⋅12705962538240 = 25411925076480 is not.

Almost surely, 2^{12705962538240} is an apocalyptic number.

12705962538240 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 12705962538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23355293165568).

12705962538240 is an abundant number, since it is smaller than the sum of its proper divisors (34004623792896).

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

12705962538240 is an equidigital number, since it uses as much as digits as its factorization.

12705962538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12705962538240 in words is "twelve trillion, seven hundred five billion, nine hundred sixty-two million, five hundred thirty-eight thousand, two hundred forty".