54561269760 has 768 divisors, whose sum is σ = 195641671680. Its totient is φ = 12932874240.

The previous prime is 54561269753. The next prime is 54561269767. The reversal of 54561269760 is 6796216545.

It is an interprime number because it is at equal distance from previous prime (54561269753) and next prime (54561269767).

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

It is not an unprimeable number, because it can be changed into a prime (54561269767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1029457894 + ... + 1029457946.

It is an arithmetic number, because the mean of its divisors is an integer number (254741760).

Almost surely, 2^54561269760 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 54561269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97820835840).

54561269760 is an abundant number, since it is smaller than the sum of its proper divisors (141080401920).

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

54561269760 is a wasteful number, since it uses less digits than its factorization.

54561269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 54561269760 in words is "fifty-four billion, five hundred sixty-one million, two hundred sixty-nine thousand, seven hundred sixty".