1328576187120 has 320 divisors, whose sum is σ = 5335821818880. Its totient is φ = 265561473024.

The previous prime is 1328576187119. The next prime is 1328576187121. The reversal of 1328576187120 is 217816758231.

It is an interprime number because it is at equal distance from previous prime (1328576187119) and next prime (1328576187121).

It is a super-2 number, since 2×1328576187120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328576187121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1185889 + ... + 2015808.

It is an arithmetic number, because the mean of its divisors is an integer number (16674443184).

Almost surely, 2^{1328576187120} is an apocalyptic number.

1328576187120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328576187120 is an abundant number, since it is smaller than the sum of its proper divisors (4007245631760).

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

1328576187120 is a wasteful number, since it uses less digits than its factorization.

1328576187120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201752 (or 3201746 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 1328576187120 in words is "one trillion, three hundred twenty-eight billion, five hundred seventy-six million, one hundred eighty-seven thousand, one hundred twenty".