1352090880000 has 2160 divisors, whose sum is σ = 6042899903040. Its totient is φ = 295612416000.

The previous prime is 1352090879969. The next prime is 1352090880011. The reversal of 1352090880000 is 880902531.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 58786559989 + ... + 58786560011.

It is an arithmetic number, because the mean of its divisors is an integer number (2797638844).

Almost surely, 2^{1352090880000} is an apocalyptic number.

1352090880000 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 1352090880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021449951520).

1352090880000 is an abundant number, since it is smaller than the sum of its proper divisors (4690809023040).

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

1352090880000 is an frugal number, since it uses more digits than its factorization.

1352090880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1352090880000 in words is "one trillion, three hundred fifty-two billion, ninety million, eight hundred eighty thousand".