1160948275200 has 1296 divisors, whose sum is σ = 5020008542640. Its totient is φ = 251141160960.

The previous prime is 1160948275177. The next prime is 1160948275229. The reversal of 1160948275200 is 25728490611.

1160948275200 is a `hidden beast` number, since 1 + 1 + 60 + 9 + 48 + 27 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1164441102 + ... + 1164442098.

Almost surely, 2^{1160948275200} is an apocalyptic number.

1160948275200 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 1160948275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510004271320).

1160948275200 is an abundant number, since it is smaller than the sum of its proper divisors (3859060267440).

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

1160948275200 is a wasteful number, since it uses less digits than its factorization.

1160948275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1160948275200 in words is "one trillion, one hundred sixty billion, nine hundred forty-eight million, two hundred seventy-five thousand, two hundred".