27059451496900 has 81 divisors (see below), whose sum is σ = 58883257285671. Its totient is φ = 10793588945280.

The previous prime is 27059451496879. The next prime is 27059451496921. The reversal of 27059451496900 is 969415495072.

The square root of 27059451496900 is 5201870.

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

It is an interprime number because it is at equal distance from previous prime (27059451496879) and next prime (27059451496921).

It can be written as a sum of positive squares in 4 ways, for example, as 2213852361604 + 24845599135296 = 1487902^2 + 4984536^2 .

It is a super-2 number, since 2×27059451496900² (a number of 28 digits) contains 22 as substring.

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, 33448023696 + ... + 33448024504.

Almost surely, 2^{27059451496900} is an apocalyptic number.

27059451496900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27059451496900 is the 5201870-th square number.

It is an amenable number.

27059451496900 is an abundant number, since it is smaller than the sum of its proper divisors (31823805788771).

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

27059451496900 is an frugal number, since it uses more digits than its factorization.

27059451496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 27059451496900 in words is "twenty-seven trillion, fifty-nine billion, four hundred fifty-one million, four hundred ninety-six thousand, nine hundred".