12888533376 has 288 divisors, whose sum is σ = 39147498000. Its totient is φ = 4225913856.

The previous prime is 12888533363. The next prime is 12888533377. The reversal of 12888533376 is 67333588821.

12888533376 is a `hidden beast` number, since 1 + 28 + 88 + 533 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12888533376² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888533377) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86500150 + ... + 86500298.

Almost surely, 2^12888533376 is an apocalyptic number.

12888533376 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 12888533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573749000).

12888533376 is an abundant number, since it is smaller than the sum of its proper divisors (26258964624).

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

12888533376 is an frugal number, since it uses more digits than its factorization.

12888533376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

It can be divided in two parts, 128885 and 33376, that added together give a palindrome (162261).

The spelling of 12888533376 in words is "twelve billion, eight hundred eighty-eight million, five hundred thirty-three thousand, three hundred seventy-six".