127685436240 has 320 divisors, whose sum is σ = 414656888832. Its totient is φ = 32465664000.

The previous prime is 127685436217. The next prime is 127685436251. The reversal of 127685436240 is 42634586721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127685436240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275778249 + ... + 275778711.

Almost surely, 2^127685436240 is an apocalyptic number.

127685436240 is a gapful number since it is divisible by the number (10) 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 127685436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207328444416).

127685436240 is an abundant number, since it is smaller than the sum of its proper divisors (286971452592).

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

127685436240 is a wasteful number, since it uses less digits than its factorization.

127685436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 127685436240 in words is "one hundred twenty-seven billion, six hundred eighty-five million, four hundred thirty-six thousand, two hundred forty".