54601585920 has 864 divisors, whose sum is σ = 237396700800. Its totient is φ = 11816534016.

The previous prime is 54601585919. The next prime is 54601585921. The reversal of 54601585920 is 2958510645.

54601585920 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 1 + 58 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54601585919) and next prime (54601585921).

It is a tau number, because it is divible by the number of its divisors (864).

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 (54601585921) 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, 32174512 + ... + 32176208.

It is an arithmetic number, because the mean of its divisors is an integer number (274764700).

Almost surely, 2^54601585920 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 54601585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118698350400).

54601585920 is an abundant number, since it is smaller than the sum of its proper divisors (182795114880).

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

54601585920 is a wasteful number, since it uses less digits than its factorization.

54601585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 54601585920 in words is "fifty-four billion, six hundred one million, five hundred eighty-five thousand, nine hundred twenty".