12651454985400 has 576 divisors, whose sum is σ = 53840232576000. Its totient is φ = 2585775744000.

The previous prime is 12651454985399. The next prime is 12651454985419. The reversal of 12651454985400 is 458945415621.

It is a happy number.

12651454985400 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 1 + 4 + 5 + 4 + 98 + 540 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7706401 + ... + 9202799.

It is an arithmetic number, because the mean of its divisors is an integer number (93472626000).

Almost surely, 2^{12651454985400} is an apocalyptic number.

12651454985400 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 12651454985400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920116288000).

12651454985400 is an abundant number, since it is smaller than the sum of its proper divisors (41188777590600).

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

12651454985400 is a wasteful number, since it uses less digits than its factorization.

12651454985400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496500 (or 1496488 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 12651454985400 in words is "twelve trillion, six hundred fifty-one billion, four hundred fifty-four million, nine hundred eighty-five thousand, four hundred".