1288749884625 has 96 divisors (see below), whose sum is σ = 2655748353024. Its totient is φ = 588992342400.

The previous prime is 1288749884603. The next prime is 1288749884647. The reversal of 1288749884625 is 5264889478821.

1288749884625 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 74 + 98 + 8 + 462 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1288749884603) and next prime (1288749884647).

It is not a de Polignac number, because 1288749884625 - 2⁶ = 1288749884561 is a prime.

It is a super-2 number, since 2×1288749884625² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34418664 + ... + 34456086.

It is an arithmetic number, because the mean of its divisors is an integer number (27664045344).

Almost surely, 2^{1288749884625} is an apocalyptic number.

1288749884625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1288749884625 is an abundant number, since it is smaller than the sum of its proper divisors (1366998468399).

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

1288749884625 is a wasteful number, since it uses less digits than its factorization.

1288749884625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41824 (or 41811 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 1288749884625 in words is "one trillion, two hundred eighty-eight billion, seven hundred forty-nine million, eight hundred eighty-four thousand, six hundred twenty-five".