127881375600 has 240 divisors, whose sum is σ = 447998826240. Its totient is φ = 30924441600.

The previous prime is 127881375599. The next prime is 127881375649. The reversal of 127881375600 is 6573188721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127881375600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5386957 + ... + 5410643.

It is an arithmetic number, because the mean of its divisors is an integer number (1866661776).

Almost surely, 2^127881375600 is an apocalyptic number.

127881375600 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 127881375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223999413120).

127881375600 is an abundant number, since it is smaller than the sum of its proper divisors (320117450640).

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

127881375600 is a wasteful number, since it uses less digits than its factorization.

127881375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24128 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 127881375600 in words is "one hundred twenty-seven billion, eight hundred eighty-one million, three hundred seventy-five thousand, six hundred".