1100511061104 has 320 divisors, whose sum is σ = 3600003585024. Its totient is φ = 281899450368.

The previous prime is 1100511061103. The next prime is 1100511061147. The reversal of 1100511061104 is 4011601150011.

It is a super-2 number, since 2×1100511061104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100511061103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95832547 + ... + 95844029.

Almost surely, 2^{1100511061104} is an apocalyptic number.

1100511061104 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 1100511061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800001792512).

1100511061104 is an abundant number, since it is smaller than the sum of its proper divisors (2499492523920).

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

1100511061104 is a wasteful number, since it uses less digits than its factorization.

1100511061104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

The spelling of 1100511061104 in words is "one trillion, one hundred billion, five hundred eleven million, sixty-one thousand, one hundred four".