127376242890 has 128 divisors (see below), whose sum is σ = 353495342592. Its totient is φ = 29094051840.

The previous prime is 127376242867. The next prime is 127376242919. The reversal of 127376242890 is 98242673721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335434 + ... + 606026.

It is an arithmetic number, because the mean of its divisors is an integer number (2761682364).

Almost surely, 2^127376242890 is an apocalyptic number.

127376242890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127376242890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176747671296).

127376242890 is an abundant number, since it is smaller than the sum of its proper divisors (226119099702).

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

127376242890 is a wasteful number, since it uses less digits than its factorization.

127376242890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270704.

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 127376242890 in words is "one hundred twenty-seven billion, three hundred seventy-six million, two hundred forty-two thousand, eight hundred ninety".