12578402168640 has 2688 divisors, whose sum is σ = 58837874135040. Its totient is φ = 2386840780800.

The previous prime is 12578402168621. The next prime is 12578402168711. The reversal of 12578402168640 is 4686120487521.

12578402168640 is a `hidden beast` number, since 1 + 2 + 5 + 78 + 402 + 168 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×12578402168640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19087104631 + ... + 19087105289.

It is an arithmetic number, because the mean of its divisors is an integer number (21889090080).

Almost surely, 2^{12578402168640} is an apocalyptic number.

12578402168640 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 12578402168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29418937067520).

12578402168640 is an abundant number, since it is smaller than the sum of its proper divisors (46259471966400).

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

12578402168640 is a wasteful number, since it uses less digits than its factorization.

12578402168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12578402168640 in words is "twelve trillion, five hundred seventy-eight billion, four hundred two million, one hundred sixty-eight thousand, six hundred forty".