12553456820832 has 768 divisors, whose sum is σ = 40699895040000. Its totient is φ = 3748474920960.

The previous prime is 12553456820831. The next prime is 12553456820867. The reversal of 12553456820832 is 23802865435521.

12553456820832 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 345 + 68 + 208 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553456820831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7811733373 + ... + 7811734979.

It is an arithmetic number, because the mean of its divisors is an integer number (52994655000).

Almost surely, 2^{12553456820832} is an apocalyptic number.

12553456820832 is a gapful number since it is divisible by the number (12) 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 12553456820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349947520000).

12553456820832 is an abundant number, since it is smaller than the sum of its proper divisors (28146438219168).

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

12553456820832 is a wasteful number, since it uses less digits than its factorization.

12553456820832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 12553456820832 in words is "twelve trillion, five hundred fifty-three billion, four hundred fifty-six million, eight hundred twenty thousand, eight hundred thirty-two".