56141800 has 144 divisors (see below), whose sum is σ = 155213280. Its totient is φ = 18720000.

The previous prime is 56141791. The next prime is 56141807. The reversal of 56141800 is 814165.

56141800 = 475² + 476² + ... + 650².

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (56141807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371725 + ... + 371875.

It is an arithmetic number, because the mean of its divisors is an integer number (1077870).

Almost surely, 2^56141800 is an apocalyptic number.

56141800 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 56141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77606640).

56141800 is an abundant number, since it is smaller than the sum of its proper divisors (99071480).

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

56141800 is a wasteful number, since it uses less digits than its factorization.

56141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 56141800 is about 7492.7831945146. The cubic root of 56141800 is about 382.9088853786.

Adding to 56141800 its reverse (814165), we get a palindrome (56955965).

The spelling of 56141800 in words is "fifty-six million, one hundred forty-one thousand, eight hundred".