54264877440 has 128 divisors (see below), whose sum is σ = 173362464000. Its totient is φ = 14437742592.

The previous prime is 54264877393. The next prime is 54264877441. The reversal of 54264877440 is 4477846245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54264877441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818661 + ... + 882459.

It is an arithmetic number, because the mean of its divisors is an integer number (1354394250).

Almost surely, 2^54264877440 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 54264877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86681232000).

54264877440 is an abundant number, since it is smaller than the sum of its proper divisors (119097586560).

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

54264877440 is a wasteful number, since it uses less digits than its factorization.

54264877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64264 (or 64252 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 51.

The spelling of 54264877440 in words is "fifty-four billion, two hundred sixty-four million, eight hundred seventy-seven thousand, four hundred forty".