1327876906752 has 216 divisors, whose sum is σ = 4316199641040. Its totient is φ = 402386688000.

The previous prime is 1327876906751. The next prime is 1327876906781. The reversal of 1327876906752 is 2576096787231.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 1327876906752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327876906751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42502 + ... + 1630202.

Almost surely, 2^{1327876906752} is an apocalyptic number.

1327876906752 is a gapful number since it is divisible by the number (12) 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 1327876906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158099820520).

1327876906752 is an abundant number, since it is smaller than the sum of its proper divisors (2988322734288).

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

1327876906752 is a wasteful number, since it uses less digits than its factorization.

1327876906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587748 (or 1587717 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 1327876906752 in words is "one trillion, three hundred twenty-seven billion, eight hundred seventy-six million, nine hundred six thousand, seven hundred fifty-two".