1038817272960 has 192 divisors, whose sum is σ = 3645973127160. Its totient is φ = 272476569600.

The previous prime is 1038817272959. The next prime is 1038817272971. The reversal of 1038817272960 is 692727188301.

It is a happy number.

1038817272960 is a `hidden beast` number, since 1 + 0 + 388 + 172 + 7 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 884066301504 + 154750971456 = 940248^2 + 393384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1038817272960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1038817272897 and 1038817272906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126921 + ... + 1829640.

Almost surely, 2^{1038817272960} is an apocalyptic number.

1038817272960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038817272960 is an abundant number, since it is smaller than the sum of its proper divisors (2607155854200).

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

1038817272960 is a wasteful number, since it uses less digits than its factorization.

1038817272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956647 (or 2956632 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1038817272960 in words is "one trillion, thirty-eight billion, eight hundred seventeen million, two hundred seventy-two thousand, nine hundred sixty".