1105887552000 has 2560 divisors, whose sum is σ = 5020204400640. Its totient is φ = 209018880000.

The previous prime is 1105887551941. The next prime is 1105887552023. The reversal of 1105887552000 is 2557885011.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8707775937 + ... + 8707776063.

It is an arithmetic number, because the mean of its divisors is an integer number (1961017344).

Almost surely, 2^{1105887552000} is an apocalyptic number.

1105887552000 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 1105887552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510102200320).

1105887552000 is an abundant number, since it is smaller than the sum of its proper divisors (3914316848640).

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

1105887552000 is a wasteful number, since it uses less digits than its factorization.

1105887552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 42.

The spelling of 1105887552000 in words is "one trillion, one hundred five billion, eight hundred eighty-seven million, five hundred fifty-two thousand".