54211680 has 240 divisors, whose sum is σ = 197588160. Its totient is φ = 13989888.

The previous prime is 54211679. The next prime is 54211687. The reversal of 54211680 is 8611245.

54211680 is a `hidden beast` number, since 542 + 116 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54211687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609076 + ... + 609164.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^54211680 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 54211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

54211680 is an abundant number, since it is smaller than the sum of its proper divisors (143376480).

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

54211680 is a wasteful number, since it uses less digits than its factorization.

54211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54211680 is about 7362.8581406951. The cubic root of 54211680 is about 378.4695600734.

The spelling of 54211680 in words is "fifty-four million, two hundred eleven thousand, six hundred eighty".