1103838658560 has 1080 divisors, whose sum is σ = 4390827281568. Its totient is φ = 263828275200.

The previous prime is 1103838658547. The next prime is 1103838658567. The reversal of 1103838658560 is 658568383011.

1103838658560 is a `hidden beast` number, since 1 + 10 + 3 + 8 + 3 + 8 + 65 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1103838658560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1103838658497 and 1103838658506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103838658567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15547023325 + ... + 15547023395.

Almost surely, 2^{1103838658560} is an apocalyptic number.

1103838658560 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 1103838658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195413640784).

1103838658560 is an abundant number, since it is smaller than the sum of its proper divisors (3286988623008).

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

1103838658560 is an frugal number, since it uses more digits than its factorization.

1103838658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1103838658560 in words is "one trillion, one hundred three billion, eight hundred thirty-eight million, six hundred fifty-eight thousand, five hundred sixty".