1105500686400 has 1008 divisors, whose sum is σ = 4409302929408. Its totient is φ = 260402688000.

The previous prime is 1105500686399. The next prime is 1105500686461. The reversal of 1105500686400 is 46860055011.

1105500686400 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 5 + 0 + 0 + 6 + 8 + 640 + 0 = 666.

It is a super-2 number, since 2×1105500686400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1213501945 + ... + 1213502855.

Almost surely, 2^{1105500686400} is an apocalyptic number.

1105500686400 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 1105500686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204651464704).

1105500686400 is an abundant number, since it is smaller than the sum of its proper divisors (3303802243008).

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

1105500686400 is a wasteful number, since it uses less digits than its factorization.

1105500686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1105500686400 in words is "one trillion, one hundred five billion, five hundred million, six hundred eighty-six thousand, four hundred".