10838112955488 has 480 divisors, whose sum is σ = 39243164970240. Its totient is φ = 2857463516160.

The previous prime is 10838112955487. The next prime is 10838112955531. The reversal of 10838112955488 is 88455921183801.

10838112955488 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 81 + 1 + 2 + 9 + 5 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838112955487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 995138523 + ... + 995149413.

It is an arithmetic number, because the mean of its divisors is an integer number (81756593688).

Almost surely, 2^{10838112955488} is an apocalyptic number.

10838112955488 is a gapful number since it is divisible by the number (18) 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 10838112955488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621582485120).

10838112955488 is an abundant number, since it is smaller than the sum of its proper divisors (28405052014752).

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

10838112955488 is a wasteful number, since it uses less digits than its factorization.

10838112955488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 10838112955488 in words is "ten trillion, eight hundred thirty-eight billion, one hundred twelve million, nine hundred fifty-five thousand, four hundred eighty-eight".