755159040000 has 960 divisors, whose sum is σ = 2898381580380. Its totient is φ = 188743680000.

The previous prime is 755159039963. The next prime is 755159040001. The reversal of 755159040000 is 40951557.

It can be written as a sum of positive squares in 10 ways, for example, as 11943936 + 755147096064 = 3456^2 + 868992^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755159040001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 3133439880 + ... + 3133440120.

Almost surely, 2^755159040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755159040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449190790190).

755159040000 is an abundant number, since it is smaller than the sum of its proper divisors (2143222540380).

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

755159040000 is an equidigital number, since it uses as much as digits as its factorization.

755159040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

Adding to 755159040000 its reverse (40951557), we get a palindrome (755199991557).

The spelling of 755159040000 in words is "seven hundred fifty-five billion, one hundred fifty-nine million, forty thousand".