1288215920016 has 45 divisors (see below), whose sum is σ = 3605253504619. Its totient is φ = 429400766688.

The previous prime is 1288215919997. The next prime is 1288215920039. The reversal of 1288215920016 is 6100295128821.

The square root of 1288215920016 is 1134996.

It is a perfect power (a square), and thus also a powerful number.

1288215920016 is a `hidden beast` number, since 1 + 28 + 8 + 21 + 592 + 0 + 0 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13572661 + ... + 13667243.

Almost surely, 2^{1288215920016} is an apocalyptic number.

1288215920016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1288215920016 is the 1134996-th square number.

It is an amenable number.

1288215920016 is an abundant number, since it is smaller than the sum of its proper divisors (2317037584603).

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

1288215920016 is an frugal number, since it uses more digits than its factorization.

1288215920016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189180 (or 94588 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1288215920016 in words is "one trillion, two hundred eighty-eight billion, two hundred fifteen million, nine hundred twenty thousand, sixteen".