127936328520000 has 3360 divisors, whose sum is σ = 586483989848064. Its totient is φ = 24182323200000.

The previous prime is 127936328519981. The next prime is 127936328520073. The reversal of 127936328520000 is 25823639721.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 59699638929 + ... + 59699641071.

Almost surely, 2^{127936328520000} is an apocalyptic number.

127936328520000 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 127936328520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293241994924032).

127936328520000 is an abundant number, since it is smaller than the sum of its proper divisors (458547661328064).

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

127936328520000 is a wasteful number, since it uses less digits than its factorization.

127936328520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 127936328520000 in words is "one hundred twenty-seven trillion, nine hundred thirty-six billion, three hundred twenty-eight million, five hundred twenty thousand".