12510535550400 has 504 divisors, whose sum is σ = 46685338755120. Its totient is φ = 3173020139520.

The previous prime is 12510535550399. The next prime is 12510535550413. The reversal of 12510535550400 is 405553501521.

12510535550400 is a `hidden beast` number, since 1 + 2 + 5 + 10 + 53 + 5 + 550 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27755632 + ... + 28202768.

Almost surely, 2^{12510535550400} is an apocalyptic number.

12510535550400 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 12510535550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342669377560).

12510535550400 is an abundant number, since it is smaller than the sum of its proper divisors (34174803204720).

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

12510535550400 is a wasteful number, since it uses less digits than its factorization.

12510535550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447261 (or 447243 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 12510535550400 in words is "twelve trillion, five hundred ten billion, five hundred thirty-five million, five hundred fifty thousand, four hundred".