12788533632 has 256 divisors, whose sum is σ = 39784504320. Its totient is φ = 3564503040.

The previous prime is 12788533609. The next prime is 12788533697. The reversal of 12788533632 is 23633588721.

It is a super-2 number, since 2×12788533632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21565528 + ... + 21566120.

It is an arithmetic number, because the mean of its divisors is an integer number (155408220).

Almost surely, 2^12788533632 is an apocalyptic number.

12788533632 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 12788533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19892252160).

12788533632 is an abundant number, since it is smaller than the sum of its proper divisors (26995970688).

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

12788533632 is a wasteful number, since it uses less digits than its factorization.

12788533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 12788533632 in words is "twelve billion, seven hundred eighty-eight million, five hundred thirty-three thousand, six hundred thirty-two".