54127085040 has 480 divisors, whose sum is σ = 211671023616. Its totient is φ = 12140513280.

The previous prime is 54127084987. The next prime is 54127085053. The reversal of 54127085040 is 4058072145.

54127085040 is a `hidden beast` number, since 541 + 2 + 70 + 8 + 5 + 0 + 40 = 666.

54127085040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54127084986 and 54127085004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65927830 + ... + 65928650.

Almost surely, 2^54127085040 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 54127085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105835511808).

54127085040 is an abundant number, since it is smaller than the sum of its proper divisors (157543938576).

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

54127085040 is a wasteful number, since it uses less digits than its factorization.

54127085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 54127085040 in words is "fifty-four billion, one hundred twenty-seven million, eighty-five thousand, forty".