127521950400 has 2016 divisors, whose sum is σ = 574558850880. Its totient is φ = 27232174080.

The previous prime is 127521950377. The next prime is 127521950407. The reversal of 127521950400 is 4059125721.

127521950400 is a `hidden beast` number, since 1 + 2 + 7 + 521 + 95 + 0 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (127521950407) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 3446539182 + ... + 3446539218.

It is an arithmetic number, because the mean of its divisors is an integer number (284999430).

Almost surely, 2^127521950400 is an apocalyptic number.

127521950400 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 127521950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287279425440).

127521950400 is an abundant number, since it is smaller than the sum of its proper divisors (447036900480).

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

127521950400 is a wasteful number, since it uses less digits than its factorization.

127521950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 127521950400 in words is "one hundred twenty-seven billion, five hundred twenty-one million, nine hundred fifty thousand, four hundred".