1288495906800 has 60 divisors (see below), whose sum is σ = 4127481891960. Its totient is φ = 343598908160.

The previous prime is 1288495906757. The next prime is 1288495906837. The reversal of 1288495906800 is 86095948821.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536872095 + ... + 536874494.

It is an arithmetic number, because the mean of its divisors is an integer number (68791364866).

Almost surely, 2^{1288495906800} is an apocalyptic number.

1288495906800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288495906800 is an abundant number, since it is smaller than the sum of its proper divisors (2838985985160).

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

1288495906800 is a wasteful number, since it uses less digits than its factorization.

1288495906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073746610 (or 1073746599 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 1288495906800 in words is "one trillion, two hundred eighty-eight billion, four hundred ninety-five million, nine hundred six thousand, eight hundred".