55633858560 has 624 divisors, whose sum is σ = 228694816896. Its totient is φ = 12708347904.

The previous prime is 55633858543. The next prime is 55633858573. The reversal of 55633858560 is 6585833655.

55633858560 is a `hidden beast` number, since 5 + 56 + 3 + 3 + 8 + 585 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55633858497 and 55633858506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34835682 + ... + 34837278.

It is an arithmetic number, because the mean of its divisors is an integer number (366498104).

Almost surely, 2^55633858560 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 55633858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114347408448).

55633858560 is an abundant number, since it is smaller than the sum of its proper divisors (173060958336).

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

55633858560 is an equidigital number, since it uses as much as digits as its factorization.

55633858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 55633858560 in words is "fifty-five billion, six hundred thirty-three million, eight hundred fifty-eight thousand, five hundred sixty".