1038579749760 has 128 divisors (see below), whose sum is σ = 3783397708800. Its totient is φ = 237389654016.

The previous prime is 1038579749731. The next prime is 1038579749761. The reversal of 1038579749760 is 679479758301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-5 number, since 5×1038579749760⁵ (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1038579749691 and 1038579749700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038579749761) 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 15 ways as a sum of consecutive naturals, for example, 38624200 + ... + 38651079.

It is an arithmetic number, because the mean of its divisors is an integer number (29557794600).

Almost surely, 2^{1038579749760} is an apocalyptic number.

1038579749760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038579749760 is an abundant number, since it is smaller than the sum of its proper divisors (2744817959040).

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

1038579749760 is an equidigital number, since it uses as much as digits as its factorization.

1038579749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77275308 (or 77275296 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 1038579749760 in words is "one trillion, thirty-eight billion, five hundred seventy-nine million, seven hundred forty-nine thousand, seven hundred sixty".