1327740986880 has 1920 divisors, whose sum is σ = 5930116448256. Its totient is φ = 266615193600.

The previous prime is 1327740986861. The next prime is 1327740986899. The reversal of 1327740986880 is 886890477231.

1327740986880 is a `hidden beast` number, since 1 + 3 + 2 + 77 + 409 + 86 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1327740986861) and next prime (1327740986899).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1327740986880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10454653377 + ... + 10454653503.

Almost surely, 2^{1327740986880} is an apocalyptic number.

1327740986880 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 1327740986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965058224128).

1327740986880 is an abundant number, since it is smaller than the sum of its proper divisors (4602375461376).

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

1327740986880 is a wasteful number, since it uses less digits than its factorization.

1327740986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1327740986880 in words is "one trillion, three hundred twenty-seven billion, seven hundred forty million, nine hundred eighty-six thousand, eight hundred eighty".