55755000 has 320 divisors, whose sum is σ = 224928000. Its totient is φ = 12528000.

The previous prime is 55754999. The next prime is 55755017. The reversal of 55755000 is 55755.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 944971 + ... + 945029.

It is an arithmetic number, because the mean of its divisors is an integer number (702900).

Almost surely, 2^55755000 is an apocalyptic number.

55755000 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 55755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112464000).

55755000 is an abundant number, since it is smaller than the sum of its proper divisors (169173000).

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

55755000 is a wasteful number, since it uses less digits than its factorization.

55755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

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

The square root of 55755000 is about 7466.9270787922. The cubic root of 55755000 is about 382.0274826494.

55755000 divided by its reverse (55755) gives a cube (1000 = 10³).

The spelling of 55755000 in words is "fifty-five million, seven hundred fifty-five thousand".