10704960000 has 1000 divisors, whose sum is σ = 46403771040. Its totient is φ = 2405376000.

The previous prime is 10704959999. The next prime is 10704960011. The reversal of 10704960000 is 6940701.

10704960000 is a `hidden beast` number, since 10 + 7 + 0 + 49 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×10704960000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 181439971 + ... + 181440029.

Almost surely, 2^10704960000 is an apocalyptic number.

10704960000 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 10704960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201885520).

10704960000 is an abundant number, since it is smaller than the sum of its proper divisors (35698811040).

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

10704960000 is an frugal number, since it uses more digits than its factorization.

10704960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10704960000 in words is "ten billion, seven hundred four million, nine hundred sixty thousand".