10856039040 has 1024 divisors, whose sum is σ = 49351680000. Its totient is φ = 2189721600.

The previous prime is 10856039023. The next prime is 10856039041. The reversal of 10856039040 is 4093065801.

10856039040 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 603 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10856038986 and 10856039004.

It is not an unprimeable number, because it can be changed into a prime (10856039041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54552861 + ... + 54553059.

It is an arithmetic number, because the mean of its divisors is an integer number (48195000).

Almost surely, 2^10856039040 is an apocalyptic number.

10856039040 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 10856039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840000).

10856039040 is an abundant number, since it is smaller than the sum of its proper divisors (38495640960).

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

10856039040 is a wasteful number, since it uses less digits than its factorization.

10856039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10856039040 in words is "ten billion, eight hundred fifty-six million, thirty-nine thousand, forty".