54755128661760 has 864 divisors, whose sum is σ = 207413542522368. Its totient is φ = 13276560752640.

The previous prime is 54755128661719. The next prime is 54755128661843. The reversal of 54755128661760 is 6716682155745.

It is a happy number.

54755128661760 is a `hidden beast` number, since 5 + 4 + 7 + 5 + 5 + 1 + 2 + 8 + 6 + 617 + 6 + 0 = 666.

It is a super-2 number, since 2×54755128661760² (a number of 28 digits) contains 22 as substring.

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, 3721540164 + ... + 3721554876.

It is an arithmetic number, because the mean of its divisors is an integer number (240061970512).

Almost surely, 2^{54755128661760} 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 54755128661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103706771261184).

54755128661760 is an abundant number, since it is smaller than the sum of its proper divisors (152658413860608).

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

54755128661760 is a wasteful number, since it uses less digits than its factorization.

54755128661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15401 (or 15384 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 54755128661760 in words is "fifty-four trillion, seven hundred fifty-five billion, one hundred twenty-eight million, six hundred sixty-one thousand, seven hundred sixty".