1326727987200 has 3072 divisors, whose sum is σ = 6553080576000. Its totient is φ = 254803968000.

The previous prime is 1326727987187. The next prime is 1326727987201. The reversal of 1326727987200 is 27897276231.

1326727987200 is a `hidden beast` number, since 1 + 32 + 67 + 279 + 87 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×1326727987200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1326727987201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32359219180 + ... + 32359219220.

It is an arithmetic number, because the mean of its divisors is an integer number (2133164250).

Almost surely, 2^{1326727987200} is an apocalyptic number.

1326727987200 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 1326727987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276540288000).

1326727987200 is an abundant number, since it is smaller than the sum of its proper divisors (5226352588800).

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

1326727987200 is a wasteful number, since it uses less digits than its factorization.

1326727987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1326727987200 in words is "one trillion, three hundred twenty-six billion, seven hundred twenty-seven million, nine hundred eighty-seven thousand, two hundred".