275688003600 has 225 divisors, whose sum is σ = 989761429767. Its totient is φ = 73491598080.

The previous prime is 275688003583. The next prime is 275688003601. The reversal of 275688003600 is 6300886572.

The square root of 275688003600 is 525060.

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

275688003600 is a `hidden beast` number, since 2 + 7 + 568 + 80 + 0 + 3 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89561335824 + 186126667776 = 299268^2 + 431424^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×275688003600² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (275688003601) 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, 94509342 + ... + 94512258.

Almost surely, 2^275688003600 is an apocalyptic number.

275688003600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

275688003600 is the 525060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275688003600

275688003600 is an abundant number, since it is smaller than the sum of its proper divisors (714073426167).

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

275688003600 is an frugal number, since it uses more digits than its factorization.

275688003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 275688003600 in words is "two hundred seventy-five billion, six hundred eighty-eight million, three thousand, six hundred".