1099364505120 has 576 divisors, whose sum is σ = 4315212195840. Its totient is φ = 249667190784.

The previous prime is 1099364505077. The next prime is 1099364505133. The reversal of 1099364505120 is 215054639901.

1099364505120 is a `hidden beast` number, since 1 + 0 + 9 + 93 + 6 + 45 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1811143857 + ... + 1811144463.

It is an arithmetic number, because the mean of its divisors is an integer number (7491687840).

Almost surely, 2^{1099364505120} is an apocalyptic number.

1099364505120 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 1099364505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157606097920).

1099364505120 is an abundant number, since it is smaller than the sum of its proper divisors (3215847690720).

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

1099364505120 is a wasteful number, since it uses less digits than its factorization.

1099364505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1099364505120 in words is "one trillion, ninety-nine billion, three hundred sixty-four million, five hundred five thousand, one hundred twenty".