10727780625 has 45 divisors (see below), whose sum is σ = 19377437079. Its totient is φ = 5717340000.

The previous prime is 10727780617. The next prime is 10727780633. The reversal of 10727780625 is 52608772701.

The square root of 10727780625 is 103575.

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

10727780625 is a `hidden beast` number, since 10 + 7 + 2 + 7 + 7 + 8 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (10727780617) and next prime (10727780633).

It can be written as a sum of positive squares in 7 ways, for example, as 8647326081 + 2080454544 = 92991^2 + 45612^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10727780625 - 2³ = 10727780617 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7767435 + ... + 7768815.

Almost surely, 2^10727780625 is an apocalyptic number.

10727780625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10727780625 is the 103575-th square number.

10727780625 is the 51788-th centered octagonal number.

It is an amenable number.

10727780625 is a deficient number, since it is larger than the sum of its proper divisors (8649656454).

10727780625 is an frugal number, since it uses more digits than its factorization.

10727780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10727780625 in words is "ten billion, seven hundred twenty-seven million, seven hundred eighty thousand, six hundred twenty-five".