10707936000 has 288 divisors, whose sum is σ = 36090302976. Its totient is φ = 2813440000.

The previous prime is 10707935993. The next prime is 10707936023. The reversal of 10707936000 is 63970701.

It is a super-2 number, since 2×10707936000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815215 + ... + 6816785.

It is an arithmetic number, because the mean of its divisors is an integer number (125313552).

Almost surely, 2^10707936000 is an apocalyptic number.

10707936000 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 10707936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045151488).

10707936000 is an abundant number, since it is smaller than the sum of its proper divisors (25382366976).

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

10707936000 is an equidigital number, since it uses as much as digits as its factorization.

10707936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The spelling of 10707936000 in words is "ten billion, seven hundred seven million, nine hundred thirty-six thousand".