55623584520 has 768 divisors, whose sum is σ = 238891161600. Its totient is φ = 11331809280.

The previous prime is 55623584461. The next prime is 55623584567. The reversal of 55623584520 is 2548532655.

55623584520 is a `hidden beast` number, since 5 + 5 + 62 + 3 + 584 + 5 + 2 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 21975655 + ... + 21978185.

It is an arithmetic number, because the mean of its divisors is an integer number (311056200).

Almost surely, 2^55623584520 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 55623584520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119445580800).

55623584520 is an abundant number, since it is smaller than the sum of its proper divisors (183267577080).

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

55623584520 is a wasteful number, since it uses less digits than its factorization.

55623584520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 55623584520 in words is "fifty-five billion, six hundred twenty-three million, five hundred eighty-four thousand, five hundred twenty".