1375933284960 has 768 divisors, whose sum is σ = 4912173600768. Its totient is φ = 321490944000.

The previous prime is 1375933284937. The next prime is 1375933284977. The reversal of 1375933284960 is 694823395731.

It is a super-3 number, since 3×1375933284960³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1375933284894 and 1375933284903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2126635357 + ... + 2126636003.

It is an arithmetic number, because the mean of its divisors is an integer number (6396059376).

It is a 1-persistent number, because it is pandigital, but 2⋅1375933284960 = 2751866569920 is not.

Almost surely, 2^{1375933284960} is an apocalyptic number.

1375933284960 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 1375933284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456086800384).

1375933284960 is an abundant number, since it is smaller than the sum of its proper divisors (3536240315808).

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

1375933284960 is a wasteful number, since it uses less digits than its factorization.

1375933284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 1375933284960 in words is "one trillion, three hundred seventy-five billion, nine hundred thirty-three million, two hundred eighty-four thousand, nine hundred sixty".