12567699406080 has 864 divisors, whose sum is σ = 53939421978624. Its totient is φ = 2630739492864.

The previous prime is 12567699406049. The next prime is 12567699406081. The reversal of 12567699406080 is 8060499676521.

12567699406080 is a `hidden beast` number, since 1 + 2 + 5 + 67 + 6 + 99 + 406 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12567699405999 and 12567699406017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12567699406081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133089442 + ... + 133183838.

Almost surely, 2^{12567699406080} is an apocalyptic number.

12567699406080 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 12567699406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26969710989312).

12567699406080 is an abundant number, since it is smaller than the sum of its proper divisors (41371722572544).

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

12567699406080 is a wasteful number, since it uses less digits than its factorization.

12567699406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94571 (or 94554 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 12567699406080 in words is "twelve trillion, five hundred sixty-seven billion, six hundred ninety-nine million, four hundred six thousand, eighty".