10766137600 has 81 divisors (see below), whose sum is σ = 26668434387. Its totient is φ = 4303134720.

The previous prime is 10766137589. The next prime is 10766137649. The reversal of 10766137600 is 673166701.

The square root of 10766137600 is 103760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3312232704 + 7453904896 = 57552^2 + 86336^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10766137600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8300152 + ... + 8301448.

Almost surely, 2^10766137600 is an apocalyptic number.

10766137600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10766137600 is the 103760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10766137600

10766137600 is an abundant number, since it is smaller than the sum of its proper divisors (15902296787).

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

10766137600 is an frugal number, since it uses more digits than its factorization.

10766137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 10766137600 in words is "ten billion, seven hundred sixty-six million, one hundred thirty-seven thousand, six hundred".