56293634880 has 448 divisors, whose sum is σ = 228997946880. Its totient is φ = 12751699968.

The previous prime is 56293634869. The next prime is 56293634921. The reversal of 56293634880 is 8843639265.

56293634880 is a `hidden beast` number, since 5 + 6 + 293 + 6 + 348 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×56293634880² (a number of 22 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6830122 + ... + 6838358.

Almost surely, 2^56293634880 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 56293634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114498973440).

56293634880 is an abundant number, since it is smaller than the sum of its proper divisors (172704312000).

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

56293634880 is a wasteful number, since it uses less digits than its factorization.

56293634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 56293634880 in words is "fifty-six billion, two hundred ninety-three million, six hundred thirty-four thousand, eight hundred eighty".