55557120 has 88 divisors (see below), whose sum is σ = 177745104. Its totient is φ = 14811136.

The previous prime is 55557113. The next prime is 55557133. The reversal of 55557120 is 2175555.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13552 + ... + 17168.

Almost surely, 2^55557120 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 55557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88872552).

55557120 is an abundant number, since it is smaller than the sum of its proper divisors (122187984).

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

55557120 is a wasteful number, since it uses less digits than its factorization.

55557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 55557120 is about 7453.6648703842. The cubic root of 55557120 is about 381.5749958345.

It can be divided in two parts, 555 and 57120, that added together give a palindrome (57675).

The spelling of 55557120 in words is "fifty-five million, five hundred fifty-seven thousand, one hundred twenty".