127923148320 has 384 divisors, whose sum is σ = 465194741760. Its totient is φ = 29222830080.

The previous prime is 127923148313. The next prime is 127923148369. The reversal of 127923148320 is 23841329721.

It is a super-2 number, since 2×127923148320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19358457 + ... + 19365063.

It is an arithmetic number, because the mean of its divisors is an integer number (1211444640).

Almost surely, 2^127923148320 is an apocalyptic number.

127923148320 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 127923148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232597370880).

127923148320 is an abundant number, since it is smaller than the sum of its proper divisors (337271593440).

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

127923148320 is a wasteful number, since it uses less digits than its factorization.

127923148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 127923148320 in words is "one hundred twenty-seven billion, nine hundred twenty-three million, one hundred forty-eight thousand, three hundred twenty".