12526949967840 has 1152 divisors, whose sum is σ = 56423575434240. Its totient is φ = 2566306713600.

The previous prime is 12526949967817. The next prime is 12526949967949. The reversal of 12526949967840 is 4876994962521.

12526949967840 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 69 + 499 + 6 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165284194 + ... + 165359966.

It is an arithmetic number, because the mean of its divisors is an integer number (48978798120).

Almost surely, 2^{12526949967840} is an apocalyptic number.

12526949967840 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 12526949967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28211787717120).

12526949967840 is an abundant number, since it is smaller than the sum of its proper divisors (43896625466400).

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

12526949967840 is a wasteful number, since it uses less digits than its factorization.

12526949967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75893 (or 75872 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 12526949967840 in words is "twelve trillion, five hundred twenty-six billion, nine hundred forty-nine million, nine hundred sixty-seven thousand, eight hundred forty".