1155061555200 has 2100 divisors, whose sum is σ = 5163864750990. Its totient is φ = 254910136320.

The previous prime is 1155061555183. The next prime is 1155061555213. The reversal of 1155061555200 is 25551605511.

1155061555200 is a `hidden beast` number, since 1 + 1 + 550 + 6 + 1 + 55 + 52 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 867491057664 + 287570497536 = 931392^2 + 536256^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 39829708786 + ... + 39829708814.

Almost surely, 2^{1155061555200} is an apocalyptic number.

1155061555200 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 1155061555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581932375495).

1155061555200 is an abundant number, since it is smaller than the sum of its proper divisors (4008803195790).

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

1155061555200 is an frugal number, since it uses more digits than its factorization.

1155061555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 1155061555200 in words is "one trillion, one hundred fifty-five billion, sixty-one million, five hundred fifty-five thousand, two hundred".