127874641920 has 416 divisors, whose sum is σ = 452136909312. Its totient is φ = 30692868096.

The previous prime is 127874641907. The next prime is 127874641963. The reversal of 127874641920 is 29146478721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24020379 + ... + 24025701.

Almost surely, 2^127874641920 is an apocalyptic number.

127874641920 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 127874641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226068454656).

127874641920 is an abundant number, since it is smaller than the sum of its proper divisors (324262267392).

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

127874641920 is a wasteful number, since it uses less digits than its factorization.

127874641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 127874641920 in words is "one hundred twenty-seven billion, eight hundred seventy-four million, six hundred forty-one thousand, nine hundred twenty".