12553896741120 has 1440 divisors, whose sum is σ = 54451959851520. Its totient is φ = 2699488788480.

The previous prime is 12553896741079. The next prime is 12553896741131. The reversal of 12553896741120 is 2114769835521.

12553896741120 is a `hidden beast` number, since 1 + 2 + 5 + 538 + 9 + 6 + 74 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1018235116 + ... + 1018247444.

It is an arithmetic number, because the mean of its divisors is an integer number (37813861008).

It is a 1-persistent number, because it is pandigital, but 2⋅12553896741120 = 25107793482240 is not.

Almost surely, 2^{12553896741120} is an apocalyptic number.

12553896741120 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 12553896741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225979925760).

12553896741120 is an abundant number, since it is smaller than the sum of its proper divisors (41898063110400).

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

12553896741120 is a wasteful number, since it uses less digits than its factorization.

12553896741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12453 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12553896741120 in words is "twelve trillion, five hundred fifty-three billion, eight hundred ninety-six million, seven hundred forty-one thousand, one hundred twenty".