54461625120 has 288 divisors, whose sum is σ = 217582485120. Its totient is φ = 12144660480.

The previous prime is 54461625109. The next prime is 54461625121. The reversal of 54461625120 is 2152616445.

54461625120 is a `hidden beast` number, since 5 + 4 + 4 + 6 + 1 + 625 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×54461625120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54461625121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347391 + ... + 479169.

It is an arithmetic number, because the mean of its divisors is an integer number (755494740).

Almost surely, 2^54461625120 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 54461625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108791242560).

54461625120 is an abundant number, since it is smaller than the sum of its proper divisors (163120860000).

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

54461625120 is a wasteful number, since it uses less digits than its factorization.

54461625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131848 (or 131837 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54461625120 in words is "fifty-four billion, four hundred sixty-one million, six hundred twenty-five thousand, one hundred twenty".