127845527040 has 1920 divisors, whose sum is σ = 609998957568. Its totient is φ = 24843386880.

The previous prime is 127845527009. The next prime is 127845527041. The reversal of 127845527040 is 40725548721.

127845527040 is a `hidden beast` number, since 1 + 2 + 7 + 84 + 5 + 527 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127845527041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 814302642 + ... + 814302798.

Almost surely, 2^127845527040 is an apocalyptic number.

127845527040 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 127845527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304999478784).

127845527040 is an abundant number, since it is smaller than the sum of its proper divisors (482153430528).

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

127845527040 is a wasteful number, since it uses less digits than its factorization.

127845527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 127845527040 in words is "one hundred twenty-seven billion, eight hundred forty-five million, five hundred twenty-seven thousand, forty".