1167620321160 has 512 divisors, whose sum is σ = 4128859008000. Its totient is φ = 292897161216.

The previous prime is 1167620321129. The next prime is 1167620321177. The reversal of 1167620321160 is 611230267611.

1167620321160 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 620 + 3 + 21 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 828686536 + ... + 828687944.

It is an arithmetic number, because the mean of its divisors is an integer number (8064177750).

Almost surely, 2^{1167620321160} is an apocalyptic number.

1167620321160 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 1167620321160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064429504000).

1167620321160 is an abundant number, since it is smaller than the sum of its proper divisors (2961238686840).

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

1167620321160 is a wasteful number, since it uses less digits than its factorization.

1167620321160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 1167620321160 its reverse (611230267611), we get a palindrome (1778850588771).

The spelling of 1167620321160 in words is "one trillion, one hundred sixty-seven billion, six hundred twenty million, three hundred twenty-one thousand, one hundred sixty".