1099379957760 has 1344 divisors, whose sum is σ = 4857965798400. Its totient is φ = 223887753216.

The previous prime is 1099379957707. The next prime is 1099379957773. The reversal of 1099379957760 is 677599739901.

1099379957760 is a `hidden beast` number, since 10 + 9 + 9 + 37 + 9 + 9 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 833494381 + ... + 833495699.

Almost surely, 2^{1099379957760} is an apocalyptic number.

1099379957760 is a gapful number since it is divisible by the number (10) 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 1099379957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428982899200).

1099379957760 is an abundant number, since it is smaller than the sum of its proper divisors (3758585840640).

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

1099379957760 is a wasteful number, since it uses less digits than its factorization.

1099379957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 202538070, while the sum is 72.

The spelling of 1099379957760 in words is "one trillion, ninety-nine billion, three hundred seventy-nine million, nine hundred fifty-seven thousand, seven hundred sixty".