12553584120 has 448 divisors, whose sum is σ = 52808163840. Its totient is φ = 2608070400.

The previous prime is 12553584103. The next prime is 12553584133. The reversal of 12553584120 is 2148535521.

12553584120 is a `hidden beast` number, since 1 + 2 + 5 + 53 + 584 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2242525 + ... + 2248115.

Almost surely, 2^12553584120 is an apocalyptic number.

12553584120 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 12553584120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404081920).

12553584120 is an abundant number, since it is smaller than the sum of its proper divisors (40254579720).

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

12553584120 is a wasteful number, since it uses less digits than its factorization.

12553584120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12553584120 in words is "twelve billion, five hundred fifty-three million, five hundred eighty-four thousand, one hundred twenty".