54825120 has 384 divisors, whose sum is σ = 229824000. Its totient is φ = 12192768.

The previous prime is 54825107. The next prime is 54825151. The reversal of 54825120 is 2152845.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481742 + ... + 1481778.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 2^54825120 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 54825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

54825120 is an abundant number, since it is smaller than the sum of its proper divisors (174998880).

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

54825120 is a wasteful number, since it uses less digits than its factorization.

54825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54825120 is about 7404.3986926691. The cubic root of 54825120 is about 379.8917512534.

Adding to 54825120 its reverse (2152845), we get a palindrome (56977965).

It can be divided in two parts, 54825 and 120, that added together give a palindrome (54945).

The spelling of 54825120 in words is "fifty-four million, eight hundred twenty-five thousand, one hundred twenty".