56210241600 has 840 divisors, whose sum is σ = 226099957248. Its totient is φ = 13635993600.

The previous prime is 56210241587. The next prime is 56210241613. The reversal of 56210241600 is 614201265.

56210241600 is a `hidden beast` number, since 5 + 6 + 2 + 10 + 2 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56210241587) and next prime (56210241613).

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

It is a nialpdrome in base 12.

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 119 ways as a sum of consecutive naturals, for example, 68298789 + ... + 68299611.

Almost surely, 2^56210241600 is an apocalyptic number.

56210241600 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 56210241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113049978624).

56210241600 is an abundant number, since it is smaller than the sum of its proper divisors (169889715648).

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

56210241600 is a wasteful number, since it uses less digits than its factorization.

56210241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 56210241600 its reverse (614201265), we get a palindrome (56824442865).

The spelling of 56210241600 in words is "fifty-six billion, two hundred ten million, two hundred forty-one thousand, six hundred".