1155775544000 has 1008 divisors, whose sum is σ = 3732208334400. Its totient is φ = 354135936000.

The previous prime is 1155775543997. The next prime is 1155775544017. The reversal of 1155775544000 is 4455775511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

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, 19589415971 + ... + 19589416029.

Almost surely, 2^{1155775544000} is an apocalyptic number.

1155775544000 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 1155775544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866104167200).

1155775544000 is an abundant number, since it is smaller than the sum of its proper divisors (2576432790400).

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

1155775544000 is an frugal number, since it uses more digits than its factorization.

1155775544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 44.

It can be divided in two parts, 11557 and 75544000, that added together give a palindrome (75555557).

The spelling of 1155775544000 in words is "one trillion, one hundred fifty-five billion, seven hundred seventy-five million, five hundred forty-four thousand".