1288734468780 has 192 divisors, whose sum is σ = 3980381948928. Its totient is φ = 308955095040.

The previous prime is 1288734468733. The next prime is 1288734468781. The reversal of 1288734468780 is 878644378821.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1288734468781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23753364 + ... + 23807556.

It is an arithmetic number, because the mean of its divisors is an integer number (20731155984).

Almost surely, 2^{1288734468780} is an apocalyptic number.

1288734468780 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 1288734468780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990190974464).

1288734468780 is an abundant number, since it is smaller than the sum of its proper divisors (2691647480148).

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

1288734468780 is a wasteful number, since it uses less digits than its factorization.

1288734468780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54616 (or 54614 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 1288734468780 in words is "one trillion, two hundred eighty-eight billion, seven hundred thirty-four million, four hundred sixty-eight thousand, seven hundred eighty".