127053525120 has 128 divisors (see below), whose sum is σ = 407325119040. Its totient is φ = 33685008384.

The previous prime is 127053525113. The next prime is 127053525121. The reversal of 127053525120 is 21525350721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×127053525120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127053525121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140907 + ... + 523413.

Almost surely, 2^127053525120 is an apocalyptic number.

127053525120 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 127053525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203662559520).

127053525120 is an abundant number, since it is smaller than the sum of its proper divisors (280271593920).

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

127053525120 is a wasteful number, since it uses less digits than its factorization.

127053525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382702 (or 382690 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

Adding to 127053525120 its reverse (21525350721), we get a palindrome (148578875841).

The spelling of 127053525120 in words is "one hundred twenty-seven billion, fifty-three million, five hundred twenty-five thousand, one hundred twenty".