11072701700 has 144 divisors (see below), whose sum is σ = 25762257360. Its totient is φ = 4123392000.

The previous prime is 11072701697. The next prime is 11072701709. The reversal of 11072701700 is 710727011.

It can be written as a sum of positive squares in 24 ways, for example, as 6316116676 + 4756585024 = 79474^2 + 68968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11072701700.

It is not an unprimeable number, because it can be changed into a prime (11072701709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9375110 + ... + 9376290.

It is an arithmetic number, because the mean of its divisors is an integer number (178904565).

Almost surely, 2^11072701700 is an apocalyptic number.

11072701700 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 11072701700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881128680).

11072701700 is an abundant number, since it is smaller than the sum of its proper divisors (14689555660).

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

11072701700 is a wasteful number, since it uses less digits than its factorization.

11072701700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 26.

The spelling of 11072701700 in words is "eleven billion, seventy-two million, seven hundred one thousand, seven hundred".