10730603577600 has 243 divisors, whose sum is σ = 38367140612983. Its totient is φ = 2861284638720.

The previous prime is 10730603577569. The next prime is 10730603577649. The reversal of 10730603577600 is 677530603701.

It is a happy number.

The square root of 10730603577600 is 3275760.

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

10730603577600 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 6 + 0 + 35 + 7 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3411024834816 + 7319578742784 = 1846896^2 + 2705472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 786175576 + ... + 786189224.

Almost surely, 2^{10730603577600} is an apocalyptic number.

10730603577600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10730603577600 is the 3275760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10730603577600

10730603577600 is an abundant number, since it is smaller than the sum of its proper divisors (27636537035383).

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

10730603577600 is an frugal number, since it uses more digits than its factorization.

10730603577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27330 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 10730603577600 in words is "ten trillion, seven hundred thirty billion, six hundred three million, five hundred seventy-seven thousand, six hundred".