1160950579200 has 684 divisors, whose sum is σ = 4318719790840. Its totient is φ = 309586821120.

The previous prime is 1160950579181. The next prime is 1160950579277. The reversal of 1160950579200 is 29750590611.

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 Jordan-Polya number, since it can be written as (6!)² ⋅ 4! ⋅ (3!)⁶ ⋅ 2!.

1160950579200 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 9 + 50 + 579 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232190115838 + ... + 232190115842.

Almost surely, 2^{1160950579200} is an apocalyptic number.

1160950579200 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 1160950579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159359895420).

1160950579200 is an abundant number, since it is smaller than the sum of its proper divisors (3157769211640).

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

1160950579200 is an frugal number, since it uses more digits than its factorization.

1160950579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 1160950579200 in words is "one trillion, one hundred sixty billion, nine hundred fifty million, five hundred seventy-nine thousand, two hundred".