127693451256 has 128 divisors (see below), whose sum is σ = 371229350400. Its totient is φ = 35845447680.

The previous prime is 127693451243. The next prime is 127693451257. The reversal of 127693451256 is 652154396721.

It is a super-3 number, since 3×127693451256³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127693451199 and 127693451208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127693451257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33312316 + ... + 33316148.

It is an arithmetic number, because the mean of its divisors is an integer number (2900229300).

Almost surely, 2^127693451256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127693451256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185614675200).

127693451256 is an abundant number, since it is smaller than the sum of its proper divisors (243535899144).

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

127693451256 is a wasteful number, since it uses less digits than its factorization.

127693451256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269 (or 7265 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 127693451256 in words is "one hundred twenty-seven billion, six hundred ninety-three million, four hundred fifty-one thousand, two hundred fifty-six".