1167580552320 has 3072 divisors, whose sum is σ = 5712555663360. Its totient is φ = 220723937280.

The previous prime is 1167580552301. The next prime is 1167580552331. The reversal of 1167580552320 is 232550857611.

1167580552320 is a `hidden beast` number, since 1 + 1 + 6 + 75 + 8 + 0 + 552 + 3 + 20 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5533557015 + ... + 5533557225.

It is an arithmetic number, because the mean of its divisors is an integer number (1859555880).

Almost surely, 2^{1167580552320} is an apocalyptic number.

1167580552320 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 1167580552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856277831680).

1167580552320 is an abundant number, since it is smaller than the sum of its proper divisors (4544975111040).

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

1167580552320 is a wasteful number, since it uses less digits than its factorization.

1167580552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1167580552320 in words is "one trillion, one hundred sixty-seven billion, five hundred eighty million, five hundred fifty-two thousand, three hundred twenty".