56229821706240 has 2496 divisors, whose sum is σ = 254631653781120. Its totient is φ = 11664925655040.

The previous prime is 56229821706197. The next prime is 56229821706259. The reversal of 56229821706240 is 4260712892265.

56229821706240 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 9 + 8 + 2 + 1 + 7 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-3 number, since 3×56229821706240³ (a number of 42 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 21486365412 + ... + 21486368028.

Almost surely, 2^{56229821706240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56229821706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127315826890560).

56229821706240 is an abundant number, since it is smaller than the sum of its proper divisors (198401832074880).

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

56229821706240 is a wasteful number, since it uses less digits than its factorization.

56229821706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56229821706240 in words is "fifty-six trillion, two hundred twenty-nine billion, eight hundred twenty-one million, seven hundred six thousand, two hundred forty".