127852369920 has 864 divisors, whose sum is σ = 504864556560. Its totient is φ = 30815354880.

The previous prime is 127852369913. The next prime is 127852369927. The reversal of 127852369920 is 29963258721.

127852369920 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 523 + 6 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (127852369913) and next prime (127852369927).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127852369927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739030954 + ... + 739031126.

Almost surely, 2^127852369920 is an apocalyptic number.

127852369920 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 127852369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252432278280).

127852369920 is an abundant number, since it is smaller than the sum of its proper divisors (377012186640).

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

127852369920 is an frugal number, since it uses more digits than its factorization.

127852369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 127852369920 in words is "one hundred twenty-seven billion, eight hundred fifty-two million, three hundred sixty-nine thousand, nine hundred twenty".