10700928000 has 528 divisors, whose sum is σ = 44103581184. Its totient is φ = 2444083200.

The previous prime is 10700927987. The next prime is 10700928047. The reversal of 10700928000 is 82900701.

It is a super-2 number, since 2×10700928000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063337 + ... + 8064663.

Almost surely, 2^10700928000 is an apocalyptic number.

10700928000 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 10700928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22051790592).

10700928000 is an abundant number, since it is smaller than the sum of its proper divisors (33402653184).

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

10700928000 is a wasteful number, since it uses less digits than its factorization.

10700928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10700928000 in words is "ten billion, seven hundred million, nine hundred twenty-eight thousand".