12788281807400 has 192 divisors, whose sum is σ = 33021380246400. Its totient is φ = 4605126028800.

The previous prime is 12788281807387. The next prime is 12788281807439. The reversal of 12788281807400 is 470818288721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27185396 + ... + 27651804.

It is an arithmetic number, because the mean of its divisors is an integer number (171986355450).

Almost surely, 2^{12788281807400} is an apocalyptic number.

12788281807400 is a gapful number since it is divisible by the number (10) 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 12788281807400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510690123200).

12788281807400 is an abundant number, since it is smaller than the sum of its proper divisors (20233098439000).

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

12788281807400 is a wasteful number, since it uses less digits than its factorization.

12788281807400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466561 (or 466530 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 56.

The spelling of 12788281807400 in words is "twelve trillion, seven hundred eighty-eight billion, two hundred eighty-one million, eight hundred seven thousand, four hundred".