127766565536 has 96 divisors (see below), whose sum is σ = 260925044688. Its totient is φ = 61542236160.

The previous prime is 127766565533. The next prime is 127766565547. The reversal of 127766565536 is 635565667721.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26797690000 + 100968875536 = 163700^2 + 317756^2 .

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (127766565533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75466706 + ... + 75468398.

Almost surely, 2^127766565536 is an apocalyptic number.

127766565536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127766565536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130462522344).

127766565536 is an abundant number, since it is smaller than the sum of its proper divisors (133158479152).

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

127766565536 is a wasteful number, since it uses less digits than its factorization.

127766565536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2426 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 59.

The spelling of 127766565536 in words is "one hundred twenty-seven billion, seven hundred sixty-six million, five hundred sixty-five thousand, five hundred thirty-six".