12949308518400 has 1560 divisors, whose sum is σ = 50968160686080. Its totient is φ = 3240628715520.

The previous prime is 12949308518353. The next prime is 12949308518467. The reversal of 12949308518400 is 481580394921.

It is a happy number.

12949308518400 is a `hidden beast` number, since 1 + 2 + 94 + 9 + 30 + 8 + 518 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×12949308518400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 20014386877 + ... + 20014387523.

Almost surely, 2^{12949308518400} is an apocalyptic number.

12949308518400 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 12949308518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25484080343040).

12949308518400 is an abundant number, since it is smaller than the sum of its proper divisors (38018852167680).

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

12949308518400 is a wasteful number, since it uses less digits than its factorization.

12949308518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12949308518400 in words is "twelve trillion, nine hundred forty-nine billion, three hundred eight million, five hundred eighteen thousand, four hundred".