55269864000 has 728 divisors, whose sum is σ = 221106952248. Its totient is φ = 13604889600.

The previous prime is 55269863993. The next prime is 55269864011. The reversal of 55269864000 is 46896255.

55269864000 is a `hidden beast` number, since 5 + 526 + 9 + 86 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8707129344 + 46562734656 = 93312^2 + 215784^2 .

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

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 103 ways as a sum of consecutive naturals, for example, 4251527994 + ... + 4251528006.

It is an arithmetic number, because the mean of its divisors is an integer number (303718341).

Almost surely, 2^55269864000 is an apocalyptic number.

55269864000 is a gapful number since it is divisible by the number (50) 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 55269864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110553476124).

55269864000 is an abundant number, since it is smaller than the sum of its proper divisors (165837088248).

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

55269864000 is an frugal number, since it uses more digits than its factorization.

55269864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55269864000 in words is "fifty-five billion, two hundred sixty-nine million, eight hundred sixty-four thousand".