56230681852800 has 1920 divisors, whose sum is σ = 268832693606400. Its totient is φ = 11239542374400.

The previous prime is 56230681852789. The next prime is 56230681852823. The reversal of 56230681852800 is 825818603265.

56230681852800 is a `hidden beast` number, since 5 + 6 + 2 + 30 + 6 + 81 + 8 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×56230681852800³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 448094065 + ... + 448219535.

It is an arithmetic number, because the mean of its divisors is an integer number (140017027920).

Almost surely, 2^{56230681852800} is an apocalyptic number.

56230681852800 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 56230681852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416346803200).

56230681852800 is an abundant number, since it is smaller than the sum of its proper divisors (212602011753600).

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

56230681852800 is a wasteful number, since it uses less digits than its factorization.

56230681852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125546 (or 125520 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 56230681852800 in words is "fifty-six trillion, two hundred thirty billion, six hundred eighty-one million, eight hundred fifty-two thousand, eight hundred".