55095600 has 180 divisors, whose sum is σ = 205523304. Its totient is φ = 12579840.

The previous prime is 55095559. The next prime is 55095617. The reversal of 55095600 is 659055.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58332 + ... + 59268.

Almost surely, 2^55095600 is an apocalyptic number.

55095600 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 55095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102761652).

55095600 is an abundant number, since it is smaller than the sum of its proper divisors (150427704).

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

55095600 is a wasteful number, since it uses less digits than its factorization.

55095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 55095600 is about 7422.6410394145. The cubic root of 55095600 is about 380.5154592959.

The spelling of 55095600 in words is "fifty-five million, ninety-five thousand, six hundred".