127897742016 has 224 divisors, whose sum is σ = 428012352000. Its totient is φ = 37071682560.

The previous prime is 127897741969. The next prime is 127897742051. The reversal of 127897742016 is 610247798721.

127897742016 is a `hidden beast` number, since 127 + 8 + 97 + 7 + 420 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290910 + ... + 583458.

Almost surely, 2^127897742016 is an apocalyptic number.

127897742016 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 127897742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214006176000).

127897742016 is an abundant number, since it is smaller than the sum of its proper divisors (300114609984).

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

127897742016 is a wasteful number, since it uses less digits than its factorization.

127897742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292604 (or 292588 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 127897742016 in words is "one hundred twenty-seven billion, eight hundred ninety-seven million, seven hundred forty-two thousand, sixteen".