55726500 has 96 divisors (see below), whose sum is σ = 164376576. Its totient is φ = 14668800.

The previous prime is 55726481. The next prime is 55726511. The reversal of 55726500 is 562755.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145309 + ... + 145691.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2^55726500 is an apocalyptic number.

55726500 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 55726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188288).

55726500 is an abundant number, since it is smaller than the sum of its proper divisors (108650076).

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

55726500 is a wasteful number, since it uses less digits than its factorization.

55726500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 55726500 is about 7465.0184192673. The cubic root of 55726500 is about 381.9623785396.

The spelling of 55726500 in words is "fifty-five million, seven hundred twenty-six thousand, five hundred".