107127552456 has 160 divisors (see below), whose sum is σ = 315498110400. Its totient is φ = 33895255680.

The previous prime is 107127552451. The next prime is 107127552481. The reversal of 107127552456 is 654255721701.

107127552456 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 2 + 75 + 524 + 56 = 666.

It is a super-3 number, since 3×107127552456³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (107127552451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1924990 + ... + 1979858.

It is an arithmetic number, because the mean of its divisors is an integer number (1971863190).

Almost surely, 2^107127552456 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 107127552456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157749055200).

107127552456 is an abundant number, since it is smaller than the sum of its proper divisors (208370557944).

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

107127552456 is a wasteful number, since it uses less digits than its factorization.

107127552456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55041 (or 55028 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 107127552456 in words is "one hundred seven billion, one hundred twenty-seven million, five hundred fifty-two thousand, four hundred fifty-six".