54759075840 has 1248 divisors, whose sum is σ = 236655682560. Its totient is φ = 11965169664.

The previous prime is 54759075821. The next prime is 54759075841. The reversal of 54759075840 is 4857095745.

54759075840 is a `hidden beast` number, since 5 + 4 + 7 + 59 + 0 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54759075841) 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, 1165086697 + ... + 1165086743.

Almost surely, 2^54759075840 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 54759075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118327841280).

54759075840 is an abundant number, since it is smaller than the sum of its proper divisors (181896606720).

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

54759075840 is a wasteful number, since it uses less digits than its factorization.

54759075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 54759075840 in words is "fifty-four billion, seven hundred fifty-nine million, seventy-five thousand, eight hundred forty".