1100566139904 has 264 divisors, whose sum is σ = 3962010881088. Its totient is φ = 285861150720.

The previous prime is 1100566139873. The next prime is 1100566139909. The reversal of 1100566139904 is 4099316650011.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×1100566139904² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100566139904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100566139909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65817 + ... + 1485080.

Almost surely, 2^{1100566139904} is an apocalyptic number.

1100566139904 is a gapful number since it is divisible by the number (14) 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 1100566139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981005440544).

1100566139904 is an abundant number, since it is smaller than the sum of its proper divisors (2861444741184).

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

1100566139904 is a wasteful number, since it uses less digits than its factorization.

1100566139904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550941 (or 1550920 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1100566139904 in words is "one trillion, one hundred billion, five hundred sixty-six million, one hundred thirty-nine thousand, nine hundred four".