54462165488640 has 3520 divisors, whose sum is σ = 255021388554240. Its totient is φ = 10792540569600.

The previous prime is 54462165488629. The next prime is 54462165488693. The reversal of 54462165488640 is 4688456126445.

54462165488640 is a `hidden beast` number, since 5 + 4 + 4 + 6 + 2 + 1 + 6 + 548 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×54462165488640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 108274682629 + ... + 108274683131.

It is an arithmetic number, because the mean of its divisors is an integer number (72449258112).

Almost surely, 2^{54462165488640} 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 54462165488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510694277120).

54462165488640 is an abundant number, since it is smaller than the sum of its proper divisors (200559223065600).

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

54462165488640 is a wasteful number, since it uses less digits than its factorization.

54462165488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 54462165488640 in words is "fifty-four trillion, four hundred sixty-two billion, one hundred sixty-five million, four hundred eighty-eight thousand, six hundred forty".