12451578552 has 288 divisors, whose sum is σ = 41310097920. Its totient is φ = 3502699200.

The previous prime is 12451578547. The next prime is 12451578571. The reversal of 12451578552 is 25587515421.

It is a happy number.

12451578552 is a `hidden beast` number, since 1 + 2 + 4 + 515 + 7 + 85 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12451578498 and 12451578507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6381177 + ... + 6383127.

It is an arithmetic number, because the mean of its divisors is an integer number (143437840).

Almost surely, 2^12451578552 is an apocalyptic number.

12451578552 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 12451578552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20655048960).

12451578552 is an abundant number, since it is smaller than the sum of its proper divisors (28858519368).

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

12451578552 is a wasteful number, since it uses less digits than its factorization.

12451578552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2030 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The spelling of 12451578552 in words is "twelve billion, four hundred fifty-one million, five hundred seventy-eight thousand, five hundred fifty-two".