12793854528 has 672 divisors, whose sum is σ = 48159619200. Its totient is φ = 3300175872.

The previous prime is 12793854523. The next prime is 12793854539. The reversal of 12793854528 is 82545839721.

12793854528 is a `hidden beast` number, since 1 + 2 + 7 + 93 + 8 + 545 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12793854528² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12793854523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64943326 + ... + 64943522.

It is an arithmetic number, because the mean of its divisors is an integer number (71666100).

Almost surely, 2^12793854528 is an apocalyptic number.

12793854528 is a gapful number since it is divisible by the number (18) 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 12793854528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079809600).

12793854528 is an abundant number, since it is smaller than the sum of its proper divisors (35365764672).

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

12793854528 is a wasteful number, since it uses less digits than its factorization.

12793854528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 12793854528 in words is "twelve billion, seven hundred ninety-three million, eight hundred fifty-four thousand, five hundred twenty-eight".