55633806592 has 432 divisors, whose sum is σ = 146124799632. Its totient is φ = 20932853760.

The previous prime is 55633806499. The next prime is 55633806619. The reversal of 55633806592 is 29560833655.

It can be written as a sum of positive squares in 8 ways, for example, as 11392573696 + 44241232896 = 106736^2 + 210336^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 354355378 + ... + 354355534.

It is an arithmetic number, because the mean of its divisors is an integer number (338251851).

Almost surely, 2^55633806592 is an apocalyptic number.

55633806592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55633806592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73062399816).

55633806592 is an abundant number, since it is smaller than the sum of its proper divisors (90490993040).

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

55633806592 is a wasteful number, since it uses less digits than its factorization.

55633806592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 52.

The spelling of 55633806592 in words is "fifty-five billion, six hundred thirty-three million, eight hundred six thousand, five hundred ninety-two".