10753690000 has 225 divisors, whose sum is σ = 28118195391. Its totient is φ = 3982080000.

The previous prime is 10753689941. The next prime is 10753690009. The reversal of 10753690000 is 9635701.

The square root of 10753690000 is 103700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 7400816784 + 3352873216 = 86028^2 + 57904^2 .

It is a super-2 number, since 2×10753690000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10753690009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 176289970 + ... + 176290030.

Almost surely, 2^10753690000 is an apocalyptic number.

10753690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10753690000 is the 103700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753690000

10753690000 is an abundant number, since it is smaller than the sum of its proper divisors (17364505391).

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

10753690000 is an frugal number, since it uses more digits than its factorization.

10753690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The spelling of 10753690000 in words is "ten billion, seven hundred fifty-three million, six hundred ninety thousand".