54076759560 has 384 divisors, whose sum is σ = 188411184000. Its totient is φ = 13412044800.

The previous prime is 54076759547. The next prime is 54076759567. The reversal of 54076759560 is 6595767045.

54076759560 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 6 + 75 + 9 + 560 = 666.

54076759560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54076759497 and 54076759506.

It is not an unprimeable number, because it can be changed into a prime (54076759567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128448150 + ... + 128448570.

It is an arithmetic number, because the mean of its divisors is an integer number (490654125).

Almost surely, 2^54076759560 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 54076759560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94205592000).

54076759560 is an abundant number, since it is smaller than the sum of its proper divisors (134334424440).

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

54076759560 is a wasteful number, since it uses less digits than its factorization.

54076759560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 54076759560 in words is "fifty-four billion, seventy-six million, seven hundred fifty-nine thousand, five hundred sixty".