127079854497792 has 896 divisors, whose sum is σ = 434587505402880. Its totient is φ = 35948026920960.

The previous prime is 127079854497733. The next prime is 127079854497853. The reversal of 127079854497792 is 297794458970721.

127079854497792 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 7 + 9 + 8 + 54 + 497 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×127079854497792² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130875235867 + ... + 130875236837.

Almost surely, 2^{127079854497792} is an apocalyptic number.

127079854497792 is a gapful number since it is divisible by the number (12) 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 127079854497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217293752701440).

127079854497792 is an abundant number, since it is smaller than the sum of its proper divisors (307507650905088).

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

127079854497792 is an equidigital number, since it uses as much as digits as its factorization.

127079854497792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 4480842240, while the sum is 81.

The spelling of 127079854497792 in words is "one hundred twenty-seven trillion, seventy-nine billion, eight hundred fifty-four million, four hundred ninety-seven thousand, seven hundred ninety-two".