127659493456 has 240 divisors, whose sum is σ = 299059858944. Its totient is φ = 52512768000.

The previous prime is 127659493321. The next prime is 127659493513. The reversal of 127659493456 is 654394956721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 127659493394 and 127659493403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215277096 + ... + 215277688.

Almost surely, 2^127659493456 is an apocalyptic number.

127659493456 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 127659493456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149529929472).

127659493456 is an abundant number, since it is smaller than the sum of its proper divisors (171400365488).

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

127659493456 is a wasteful number, since it uses less digits than its factorization.

127659493456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 865 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 61.

The spelling of 127659493456 in words is "one hundred twenty-seven billion, six hundred fifty-nine million, four hundred ninety-three thousand, four hundred fifty-six".