1167125872900 has 36 divisors (see below), whose sum is σ = 2727483389092. Its totient is φ = 430938783360.

The previous prime is 1167125872877. The next prime is 1167125872901. The reversal of 1167125872900 is 92785217611.

It can be written as a sum of positive squares in 6 ways, for example, as 4 + 1167125872896 = 2^2 + 1080336^2 .

It is not an unprimeable number, because it can be changed into a prime (1167125872901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 448893267 + ... + 448895866.

Almost surely, 2^{1167125872900} is an apocalyptic number.

1167125872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1167125872900 is an abundant number, since it is smaller than the sum of its proper divisors (1560357516192).

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

1167125872900 is a wasteful number, since it uses less digits than its factorization.

1167125872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897789160 (or 897789153 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

The spelling of 1167125872900 in words is "one trillion, one hundred sixty-seven billion, one hundred twenty-five million, eight hundred seventy-two thousand, nine hundred".