1109378662560 has 1152 divisors, whose sum is σ = 4622827023360. Its totient is φ = 236888064000.

The previous prime is 1109378662547. The next prime is 1109378662591. The reversal of 1109378662560 is 652668739011.

1109378662560 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 3 + 7 + 8 + 6 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1109378662497 and 1109378662506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1809752814 + ... + 1809753426.

It is an arithmetic number, because the mean of its divisors is an integer number (4012870680).

Almost surely, 2^{1109378662560} is an apocalyptic number.

1109378662560 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 1109378662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311413511680).

1109378662560 is an abundant number, since it is smaller than the sum of its proper divisors (3513448360800).

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

1109378662560 is a wasteful number, since it uses less digits than its factorization.

1109378662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1109378662560 in words is "one trillion, one hundred nine billion, three hundred seventy-eight million, six hundred sixty-two thousand, five hundred sixty".