10711073700 has 216 divisors, whose sum is σ = 34547929416. Its totient is φ = 2774016000.

The previous prime is 10711073689. The next prime is 10711073731. The reversal of 10711073700 is 737011701.

10711073700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1841954724 + 8869118976 = 42918^2 + 94176^2 .

It is a super-2 number, since 2×10711073700² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10368384 + ... + 10369416.

Almost surely, 2^10711073700 is an apocalyptic number.

10711073700 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 10711073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273964708).

10711073700 is an abundant number, since it is smaller than the sum of its proper divisors (23836855716).

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

10711073700 is a wasteful number, since it uses less digits than its factorization.

10711073700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The spelling of 10711073700 in words is "ten billion, seven hundred eleven million, seventy-three thousand, seven hundred".