1288694863872 has 288 divisors, whose sum is σ = 4034952361440. Its totient is φ = 393884467200.

The previous prime is 1288694863847. The next prime is 1288694863877. The reversal of 1288694863872 is 2783684968821.

1288694863872 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 69 + 486 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1288694863872² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1288694863872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288694863877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36164208 + ... + 36199824.

It is an arithmetic number, because the mean of its divisors is an integer number (14010251255).

Almost surely, 2^{1288694863872} is an apocalyptic number.

1288694863872 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 1288694863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017476180720).

1288694863872 is an abundant number, since it is smaller than the sum of its proper divisors (2746257497568).

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

1288694863872 is a wasteful number, since it uses less digits than its factorization.

1288694863872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35809 (or 35786 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 1288694863872 in words is "one trillion, two hundred eighty-eight billion, six hundred ninety-four million, eight hundred sixty-three thousand, eight hundred seventy-two".