55395900 has 180 divisors, whose sum is σ = 205434768. Its totient is φ = 12648960.

The previous prime is 55395889. The next prime is 55395913. The reversal of 55395900 is 959355.

55395900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56212 + ... + 57188.

Almost surely, 2^55395900 is an apocalyptic number.

55395900 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 55395900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102717384).

55395900 is an abundant number, since it is smaller than the sum of its proper divisors (150038868).

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

55395900 is a wasteful number, since it uses less digits than its factorization.

55395900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 36.

The square root of 55395900 is about 7442.8421990527. The cubic root of 55395900 is about 381.2055435039.

The spelling of 55395900 in words is "fifty-five million, three hundred ninety-five thousand, nine hundred".