10904765538040 has 192 divisors, whose sum is σ = 27721006034400. Its totient is φ = 3854980039680.

The previous prime is 10904765538031. The next prime is 10904765538041. The reversal of 10904765538040 is 4083556740901.

It is a super-2 number, since 2×10904765538040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10904765538041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220064547 + ... + 220114093.

Almost surely, 2^{10904765538040} is an apocalyptic number.

10904765538040 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 10904765538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860503017200).

10904765538040 is an abundant number, since it is smaller than the sum of its proper divisors (16816240496360).

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

10904765538040 is a wasteful number, since it uses less digits than its factorization.

10904765538040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50846 (or 50831 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 10904765538040 in words is "ten trillion, nine hundred four billion, seven hundred sixty-five million, five hundred thirty-eight thousand, forty".