127375427520 has 336 divisors, whose sum is σ = 479366080128. Its totient is φ = 30787246080.

The previous prime is 127375427503. The next prime is 127375427561. The reversal of 127375427520 is 25724573721.

127375427520 is a `hidden beast` number, since 1 + 2 + 7 + 37 + 542 + 75 + 2 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 10987167 + ... + 10998753.

Almost surely, 2^127375427520 is an apocalyptic number.

127375427520 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 127375427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239683040064).

127375427520 is an abundant number, since it is smaller than the sum of its proper divisors (351990652608).

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

127375427520 is a wasteful number, since it uses less digits than its factorization.

127375427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 127375427520 in words is "one hundred twenty-seven billion, three hundred seventy-five million, four hundred twenty-seven thousand, five hundred twenty".