1288134574520 has 64 divisors (see below), whose sum is σ = 2977532438400. Its totient is φ = 501176954880.

The previous prime is 1288134574513. The next prime is 1288134574547. The reversal of 1288134574520 is 254754318821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4844801 + ... + 5103759.

It is an arithmetic number, because the mean of its divisors is an integer number (46523944350).

Almost surely, 2^{1288134574520} is an apocalyptic number.

1288134574520 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 1288134574520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488766219200).

1288134574520 is an abundant number, since it is smaller than the sum of its proper divisors (1689397863880).

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

1288134574520 is a wasteful number, since it uses less digits than its factorization.

1288134574520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262368 (or 262364 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 1288134574520 in words is "one trillion, two hundred eighty-eight billion, one hundred thirty-four million, five hundred seventy-four thousand, five hundred twenty".