127842793537536 has 1200 divisors, whose sum is σ = 491555883743232. Its totient is φ = 32133965414400.

The previous prime is 127842793537517. The next prime is 127842793537609. The reversal of 127842793537536 is 635735397248721.

127842793537536 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 4 + 27 + 9 + 35 + 37 + 536 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3167777070 + ... + 3167817426.

Almost surely, 2^{127842793537536} is an apocalyptic number.

127842793537536 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 127842793537536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245777941871616).

127842793537536 is an abundant number, since it is smaller than the sum of its proper divisors (363713090205696).

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

127842793537536 is an equidigital number, since it uses as much as digits as its factorization.

127842793537536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40446 (or 40411 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 72.

The spelling of 127842793537536 in words is "one hundred twenty-seven trillion, eight hundred forty-two billion, seven hundred ninety-three million, five hundred thirty-seven thousand, five hundred thirty-six".