12533509429056 has 896 divisors, whose sum is σ = 47474969149440. Its totient is φ = 3146791680000.

The previous prime is 12533509429043. The next prime is 12533509429079. The reversal of 12533509429056 is 65092490533521.

12533509429056 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 509 + 42 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×12533509429056² (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 a junction number, because it is equal to n+sod(n) for n = 12533509428993 and 12533509429011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6232475091 + ... + 6232477101.

It is an arithmetic number, because the mean of its divisors is an integer number (52985456640).

Almost surely, 2^{12533509429056} is an apocalyptic number.

12533509429056 is a gapful number since it is divisible by the number (16) 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 12533509429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23737484574720).

12533509429056 is an abundant number, since it is smaller than the sum of its proper divisors (34941459720384).

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

12533509429056 is a wasteful number, since it uses less digits than its factorization.

12533509429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 12533509429056 in words is "twelve trillion, five hundred thirty-three billion, five hundred nine million, four hundred twenty-nine thousand, fifty-six".