56218993600 has 1008 divisors, whose sum is σ = 191304184320. Its totient is φ = 16024780800.

The previous prime is 56218993577. The next prime is 56218993627. The reversal of 56218993600 is 639981265.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 770123164 + ... + 770123236.

Almost surely, 2^56218993600 is an apocalyptic number.

56218993600 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 56218993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95652092160).

56218993600 is an abundant number, since it is smaller than the sum of its proper divisors (135085190720).

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

56218993600 is a wasteful number, since it uses less digits than its factorization.

56218993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

It can be divided in two parts, 5621 and 8993600, that multiplied together give a square (50553025600 = 224840²).

The spelling of 56218993600 in words is "fifty-six billion, two hundred eighteen million, nine hundred ninety-three thousand, six hundred".