12955549432320 has 480 divisors, whose sum is σ = 50760589239360. Its totient is φ = 3140737597440.

The previous prime is 12955549432297. The next prime is 12955549432337. The reversal of 12955549432320 is 2323494555921.

12955549432320 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 554 + 9 + 43 + 23 + 20 = 666.

12955549432320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×12955549432320² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5896236 + ... + 7789524.

It is an arithmetic number, because the mean of its divisors is an integer number (105751227582).

Almost surely, 2^{12955549432320} is an apocalyptic number.

12955549432320 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 12955549432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380294619680).

12955549432320 is an abundant number, since it is smaller than the sum of its proper divisors (37805039807040).

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

12955549432320 is an equidigital number, since it uses as much as digits as its factorization.

12955549432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893338 (or 1893310 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 12955549432320 in words is "twelve trillion, nine hundred fifty-five billion, five hundred forty-nine million, four hundred thirty-two thousand, three hundred twenty".