12975351891840 has 384 divisors, whose sum is σ = 48270795955200. Its totient is φ = 3192694603776.

The previous prime is 12975351891833. The next prime is 12975351891869. The reversal of 12975351891840 is 4819815357921.

12975351891840 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 535 + 1 + 8 + 91 + 8 + 4 + 0 = 666.

12975351891840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 201170316 + ... + 201234804.

It is an arithmetic number, because the mean of its divisors is an integer number (125705197800).

Almost surely, 2^{12975351891840} is an apocalyptic number.

12975351891840 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 12975351891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135397977600).

12975351891840 is an abundant number, since it is smaller than the sum of its proper divisors (35295444063360).

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

12975351891840 is a wasteful number, since it uses less digits than its factorization.

12975351891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67214 (or 67199 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 12975351891840 in words is "twelve trillion, nine hundred seventy-five billion, three hundred fifty-one million, eight hundred ninety-one thousand, eight hundred forty".