27562500000000 has 1053 divisors, whose sum is σ = 115555114651431. Its totient is φ = 6300000000000.

The previous prime is 27562499999989. The next prime is 27562500000097. The reversal of 27562500000000 is 526572.

The square root of 27562500000000 is 5250000.

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

It can be written as a sum of positive squares in 6 ways, for example, as 15594664184064 + 11967835815936 = 3949008^2 + 3459456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27562500000000.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 3937499999997 + ... + 3937500000003.

Almost surely, 2^{27562500000000} is an apocalyptic number.

27562500000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27562500000000 is the 5250000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27562500000000

27562500000000 is an abundant number, since it is smaller than the sum of its proper divisors (87992614651431).

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

27562500000000 is an frugal number, since it uses more digits than its factorization.

27562500000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 27562500000000 its reverse (526572), we get a palindrome (27562500526572).

The spelling of 27562500000000 in words is "twenty-seven trillion, five hundred sixty-two billion, five hundred million", and thus it is an aban number.