54464931840 has 768 divisors, whose sum is σ = 212284800000. Its totient is φ = 11749294080.

The previous prime is 54464931791. The next prime is 54464931841. The reversal of 54464931840 is 4813946445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54464931840.

It is not an unprimeable number, because it can be changed into a prime (54464931841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109147911 + ... + 109148409.

It is an arithmetic number, because the mean of its divisors is an integer number (276412500).

Almost surely, 2^54464931840 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 54464931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400000).

54464931840 is an abundant number, since it is smaller than the sum of its proper divisors (157819868160).

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

54464931840 is a wasteful number, since it uses less digits than its factorization.

54464931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 54464931840 in words is "fifty-four billion, four hundred sixty-four million, nine hundred thirty-one thousand, eight hundred forty".