127528521120 has 1728 divisors, whose sum is σ = 616222494720. Its totient is φ = 24397148160.

The previous prime is 127528521097. The next prime is 127528521137. The reversal of 127528521120 is 21125825721.

127528521120 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 2 + 8 + 521 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 332972449 + ... + 332972831.

It is an arithmetic number, because the mean of its divisors is an integer number (356610240).

Almost surely, 2^127528521120 is an apocalyptic number.

127528521120 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 127528521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308111247360).

127528521120 is an abundant number, since it is smaller than the sum of its proper divisors (488693973600).

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

127528521120 is a wasteful number, since it uses less digits than its factorization.

127528521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 127528521120 in words is "one hundred twenty-seven billion, five hundred twenty-eight million, five hundred twenty-one thousand, one hundred twenty".