127961856000 has 1728 divisors, whose sum is σ = 556677969120. Its totient is φ = 29196288000.

The previous prime is 127961855999. The next prime is 127961856023. The reversal of 127961856000 is 658169721.

127961856000 is a `hidden beast` number, since 1 + 2 + 79 + 6 + 18 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7527167992 + ... + 7527168008.

Almost surely, 2^127961856000 is an apocalyptic number.

127961856000 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 127961856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278338984560).

127961856000 is an abundant number, since it is smaller than the sum of its proper divisors (428716113120).

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

127961856000 is an equidigital number, since it uses as much as digits as its factorization.

127961856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 127961856000 in words is "one hundred twenty-seven billion, nine hundred sixty-one million, eight hundred fifty-six thousand".