127746521280000 has 2400 divisors, whose sum is σ = 570040797553920. Its totient is φ = 27657676800000.

The previous prime is 127746521279983. The next prime is 127746521280043. The reversal of 127746521280000 is 82125647721.

127746521280000 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 46 + 521 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 21833277075 + ... + 21833282925.

Almost surely, 2^{127746521280000} is an apocalyptic number.

127746521280000 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 127746521280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285020398776960).

127746521280000 is an abundant number, since it is smaller than the sum of its proper divisors (442294276273920).

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

127746521280000 is an frugal number, since it uses more digits than its factorization.

127746521280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 127746521280000 in words is "one hundred twenty-seven trillion, seven hundred forty-six billion, five hundred twenty-one million, two hundred eighty thousand".