55557000 has 96 divisors (see below), whose sum is σ = 187813080. Its totient is φ = 14812800.

The previous prime is 55556959. The next prime is 55557001. The reversal of 55557000 is 75555.

It can be written as a sum of positive squares in 4 ways, for example, as 2762244 + 52794756 = 1662^2 + 7266^2 .

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 not an unprimeable number, because it can be changed into a prime (55557001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5914 + ... + 12086.

Almost surely, 2^55557000 is an apocalyptic number.

55557000 is a gapful number since it is divisible by the number (50) 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 55557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93906540).

55557000 is an abundant number, since it is smaller than the sum of its proper divisors (132256080).

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

55557000 is a wasteful number, since it uses less digits than its factorization.

55557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 27.

The square root of 55557000 is about 7453.6568206485. The cubic root of 55557000 is about 381.5747211080.

The spelling of 55557000 in words is "fifty-five million, five hundred fifty-seven thousand".