56653534080 has 1024 divisors, whose sum is σ = 239108889600. Its totient is φ = 12496896000.

The previous prime is 56653534079. The next prime is 56653534081. The reversal of 56653534080 is 8043535665.

56653534080 is a `hidden beast` number, since 5 + 6 + 6 + 535 + 34 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (56653534079) and next prime (56653534081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56653534081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 249574927 + ... + 249575153.

It is an arithmetic number, because the mean of its divisors is an integer number (233504775).

Almost surely, 2^56653534080 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 56653534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119554444800).

56653534080 is an abundant number, since it is smaller than the sum of its proper divisors (182455355520).

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

56653534080 is a wasteful number, since it uses less digits than its factorization.

56653534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56653534080 in words is "fifty-six billion, six hundred fifty-three million, five hundred thirty-four thousand, eighty".