54874010880 has 864 divisors, whose sum is σ = 216955065600. Its totient is φ = 12703629312.

The previous prime is 54874010843. The next prime is 54874010887. The reversal of 54874010880 is 8801047845.

54874010880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54874010880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54874010887) 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, 306558631 + ... + 306558809.

It is an arithmetic number, because the mean of its divisors is an integer number (251105400).

Almost surely, 2^54874010880 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 54874010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108477532800).

54874010880 is an abundant number, since it is smaller than the sum of its proper divisors (162081054720).

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

54874010880 is a wasteful number, since it uses less digits than its factorization.

54874010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 54874010880 in words is "fifty-four billion, eight hundred seventy-four million, ten thousand, eight hundred eighty".