12587553014400 has 768 divisors, whose sum is σ = 56697816940800. Its totient is φ = 2655833702400.

The previous prime is 12587553014359. The next prime is 12587553014417. The reversal of 12587553014400 is 441035578521.

12587553014400 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 75 + 530 + 1 + 4 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7061910 + ... + 8662890.

It is an arithmetic number, because the mean of its divisors is an integer number (73825282475).

Almost surely, 2^{12587553014400} is an apocalyptic number.

12587553014400 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 12587553014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28348908470400).

12587553014400 is an abundant number, since it is smaller than the sum of its proper divisors (44110263926400).

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

12587553014400 is a wasteful number, since it uses less digits than its factorization.

12587553014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601034 (or 1601011 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12587553014400 in words is "twelve trillion, five hundred eighty-seven billion, five hundred fifty-three million, fourteen thousand, four hundred".