54509065884 has 576 divisors, whose sum is σ = 186188083200. Its totient is φ = 13651545600.

The previous prime is 54509065837. The next prime is 54509065951. The reversal of 54509065884 is 48856090545.

54509065884 is a `hidden beast` number, since 5 + 4 + 50 + 9 + 0 + 6 + 588 + 4 = 666.

It is a super-3 number, since 3×54509065884³ (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54509065884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130093027 + ... + 130093445.

It is an arithmetic number, because the mean of its divisors is an integer number (323243200).

Almost surely, 2^54509065884 is an apocalyptic number.

54509065884 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54509065884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93094041600).

54509065884 is an abundant number, since it is smaller than the sum of its proper divisors (131679017316).

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

54509065884 is a wasteful number, since it uses less digits than its factorization.

54509065884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 54509065884 in words is "fifty-four billion, five hundred nine million, sixty-five thousand, eight hundred eighty-four".