54532517760 has 640 divisors, whose sum is σ = 224881113600. Its totient is φ = 12335099904.

The previous prime is 54532517729. The next prime is 54532517803. The reversal of 54532517760 is 6771523545.

It is a happy number.

54532517760 is a `hidden beast` number, since 5 + 4 + 532 + 51 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37375911 + ... + 37377369.

It is an arithmetic number, because the mean of its divisors is an integer number (351376740).

Almost surely, 2^54532517760 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 54532517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112440556800).

54532517760 is an abundant number, since it is smaller than the sum of its proper divisors (170348595840).

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

54532517760 is a wasteful number, since it uses less digits than its factorization.

54532517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 54532517760 in words is "fifty-four billion, five hundred thirty-two million, five hundred seventeen thousand, seven hundred sixty".