1375652382720 has 768 divisors, whose sum is σ = 5580542822400. Its totient is φ = 280976424960.

The previous prime is 1375652382697. The next prime is 1375652382787. The reversal of 1375652382720 is 272832565731.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139556032 + ... + 139565888.

It is an arithmetic number, because the mean of its divisors is an integer number (7266331800).

Almost surely, 2^{1375652382720} is an apocalyptic number.

1375652382720 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 1375652382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790271411200).

1375652382720 is an abundant number, since it is smaller than the sum of its proper divisors (4204890439680).

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

1375652382720 is a wasteful number, since it uses less digits than its factorization.

1375652382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 1375652382720 in words is "one trillion, three hundred seventy-five billion, six hundred fifty-two million, three hundred eighty-two thousand, seven hundred twenty".