10038654756 has 144 divisors (see below), whose sum is σ = 28606267200. Its totient is φ = 3042344448.

The previous prime is 10038654749. The next prime is 10038654767. The reversal of 10038654756 is 65745683001.

10038654756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10038654756³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1218780 + ... + 1226988.

Almost surely, 2^10038654756 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 10038654756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303133600).

10038654756 is an abundant number, since it is smaller than the sum of its proper divisors (18567612444).

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

10038654756 is a wasteful number, since it uses less digits than its factorization.

10038654756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10038654756 in words is "ten billion, thirty-eight million, six hundred fifty-four thousand, seven hundred fifty-six".