1099971468288 has 792 divisors, whose sum is σ = 4083055591680. Its totient is φ = 281989693440.

The previous prime is 1099971468269. The next prime is 1099971468301. The reversal of 1099971468288 is 8828641799901.

1099971468288 is a `hidden beast` number, since 1 + 0 + 9 + 99 + 71 + 468 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392425095 + ... + 392427897.

Almost surely, 2^{1099971468288} is an apocalyptic number.

1099971468288 is a gapful number since it is divisible by the number (18) 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 1099971468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041527795840).

1099971468288 is an abundant number, since it is smaller than the sum of its proper divisors (2983084123392).

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

1099971468288 is a wasteful number, since it uses less digits than its factorization.

1099971468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 1099971468288 in words is "one trillion, ninety-nine billion, nine hundred seventy-one million, four hundred sixty-eight thousand, two hundred eighty-eight".