54875258880 has 576 divisors, whose sum is σ = 200822509440. Its totient is φ = 12683575296.

The previous prime is 54875258869. The next prime is 54875258881. The reversal of 54875258880 is 8885257845.

It is a super-2 number, since 2×54875258880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54875258881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485621704 + ... + 485621816.

It is an arithmetic number, because the mean of its divisors is an integer number (348650190).

Almost surely, 2^54875258880 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 54875258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100411254720).

54875258880 is an abundant number, since it is smaller than the sum of its proper divisors (145947250560).

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

54875258880 is a wasteful number, since it uses less digits than its factorization.

54875258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 28672000, while the sum is 60.

The spelling of 54875258880 in words is "fifty-four billion, eight hundred seventy-five million, two hundred fifty-eight thousand, eight hundred eighty".