1327957773120 has 1008 divisors, whose sum is σ = 5252303212416. Its totient is φ = 305294745600.

The previous prime is 1327957773113. The next prime is 1327957773127. The reversal of 1327957773120 is 213777597231.

1327957773120 is a `hidden beast` number, since 1 + 3 + 279 + 57 + 7 + 7 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1327957773113) and next prime (1327957773127).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327957773127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1613557029 + ... + 1613557851.

Almost surely, 2^{1327957773120} is an apocalyptic number.

1327957773120 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 1327957773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626151606208).

1327957773120 is an abundant number, since it is smaller than the sum of its proper divisors (3924345439296).

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

1327957773120 is a wasteful number, since it uses less digits than its factorization.

1327957773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 1327957773120 in words is "one trillion, three hundred twenty-seven billion, nine hundred fifty-seven million, seven hundred seventy-three thousand, one hundred twenty".