1155072576000 has 1280 divisors, whose sum is σ = 4545433930752. Its totient is φ = 254803968000.

The previous prime is 1155072575989. The next prime is 1155072576011. The reversal of 1155072576000 is 6752705511.

It is an interprime number because it is at equal distance from previous prime (1155072575989) and next prime (1155072576011).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 1155072576000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5984831904 + ... + 5984832096.

Almost surely, 2^{1155072576000} is an apocalyptic number.

1155072576000 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 1155072576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272716965376).

1155072576000 is an abundant number, since it is smaller than the sum of its proper divisors (3390361354752).

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

1155072576000 is an equidigital number, since it uses as much as digits as its factorization.

1155072576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 1155072576000 in words is "one trillion, one hundred fifty-five billion, seventy-two million, five hundred seventy-six thousand".