1288897633800 has 768 divisors, whose sum is σ = 5166440755200. Its totient is φ = 289258905600.

The previous prime is 1288897633789. The next prime is 1288897633957. The reversal of 1288897633800 is 83367988821.

It is a super-2 number, since 2×1288897633800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 759514552 + ... + 759516248.

It is an arithmetic number, because the mean of its divisors is an integer number (6727136400).

Almost surely, 2^{1288897633800} is an apocalyptic number.

1288897633800 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 1288897633800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583220377600).

1288897633800 is an abundant number, since it is smaller than the sum of its proper divisors (3877543121400).

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

1288897633800 is a wasteful number, since it uses less digits than its factorization.

1288897633800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1288897633800 in words is "one trillion, two hundred eighty-eight billion, eight hundred ninety-seven million, six hundred thirty-three thousand, eight hundred".