127201427087616 has 1512 divisors, whose sum is σ = 458509028108544. Its totient is φ = 35064380252160.

The previous prime is 127201427087587. The next prime is 127201427087617. The reversal of 127201427087616 is 616780724102721.

127201427087616 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 0 + 14 + 2 + 7 + 0 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127201427087617) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 159600284530 + ... + 159600285326.

It is an arithmetic number, because the mean of its divisors is an integer number (303246711712).

Almost surely, 2^{127201427087616} is an apocalyptic number.

127201427087616 is a gapful number since it is divisible by the number (16) 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 127201427087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229254514054272).

127201427087616 is an abundant number, since it is smaller than the sum of its proper divisors (331307601020928).

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

127201427087616 is an frugal number, since it uses more digits than its factorization.

127201427087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 127201427087616 in words is "one hundred twenty-seven trillion, two hundred one billion, four hundred twenty-seven million, eighty-seven thousand, six hundred sixteen".