12889175040 has 528 divisors, whose sum is σ = 52728099840. Its totient is φ = 2848849920.

The previous prime is 12889175023. The next prime is 12889175053. The reversal of 12889175040 is 4057198821.

12889175040 is a `hidden beast` number, since 128 + 8 + 9 + 17 + 504 + 0 = 666.

It is a super-2 number, since 2×12889175040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9998716 + ... + 10000004.

Almost surely, 2^12889175040 is an apocalyptic number.

12889175040 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 12889175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26364049920).

12889175040 is an abundant number, since it is smaller than the sum of its proper divisors (39838924800).

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

12889175040 is a wasteful number, since it uses less digits than its factorization.

12889175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12889175040 in words is "twelve billion, eight hundred eighty-nine million, one hundred seventy-five thousand, forty".