27907707136 has 81 divisors (see below), whose sum is σ = 57066967951. Its totient is φ = 13621078016.

The previous prime is 27907707131. The next prime is 27907707197. The reversal of 27907707136 is 63170770972.

The square root of 27907707136 is 167056.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16347156736 + 11560550400 = 127856^2 + 107520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27907707136.

It is not an unprimeable number, because it can be changed into a prime (27907707131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141663390 + ... + 141663586.

Almost surely, 2^27907707136 is an apocalyptic number.

27907707136 is the 167056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27907707136

27907707136 is an abundant number, since it is smaller than the sum of its proper divisors (29159260815).

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

27907707136 is an frugal number, since it uses more digits than its factorization.

27907707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 49.

Multiplying 27907707136 by its sum of digits (49), we get a square (1367477649664 = 1169392²).

The spelling of 27907707136 in words is "twenty-seven billion, nine hundred seven million, seven hundred seven thousand, one hundred thirty-six".