1375049093760 has 384 divisors, whose sum is σ = 4782918067200. Its totient is φ = 364010545152.

The previous prime is 1375049093731. The next prime is 1375049093771. The reversal of 1375049093760 is 673909405731.

It is a happy number.

1375049093760 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 490 + 93 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1375049093697 and 1375049093706.

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 47 ways as a sum of consecutive naturals, for example, 477612001 + ... + 477614879.

It is an arithmetic number, because the mean of its divisors is an integer number (12455515800).

Almost surely, 2^{1375049093760} is an apocalyptic number.

1375049093760 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 1375049093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391459033600).

1375049093760 is an abundant number, since it is smaller than the sum of its proper divisors (3407868973440).

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

1375049093760 is a wasteful number, since it uses less digits than its factorization.

1375049093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 1375049093760 in words is "one trillion, three hundred seventy-five billion, forty-nine million, ninety-three thousand, seven hundred sixty".