54585425664 has 720 divisors, whose sum is σ = 214970063616. Its totient is φ = 13337395200.

The previous prime is 54585425651. The next prime is 54585425669. The reversal of 54585425664 is 46652458545.

54585425664 is a `hidden beast` number, since 5 + 4 + 585 + 4 + 2 + 56 + 6 + 4 = 666.

54585425664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 54585425664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54585425669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27142419 + ... + 27144429.

Almost surely, 2^54585425664 is an apocalyptic number.

54585425664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54585425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107485031808).

54585425664 is an abundant number, since it is smaller than the sum of its proper divisors (160384637952).

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

54585425664 is a wasteful number, since it uses less digits than its factorization.

54585425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2051 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

It can be divided in two parts, 54585 and 425664, that added together give a square (480249 = 693²).

The spelling of 54585425664 in words is "fifty-four billion, five hundred eighty-five million, four hundred twenty-five thousand, six hundred sixty-four".