55736553600 has 1920 divisors, whose sum is σ = 269963971200. Its totient is φ = 10988421120.

The previous prime is 55736553577. The next prime is 55736553701. The reversal of 55736553600 is 635563755.

It is a happy number.

55736553600 is a `hidden beast` number, since 5 + 5 + 7 + 36 + 5 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 400982331 + ... + 400982469.

It is an arithmetic number, because the mean of its divisors is an integer number (140606235).

Almost surely, 2^55736553600 is an apocalyptic number.

55736553600 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 55736553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134981985600).

55736553600 is an abundant number, since it is smaller than the sum of its proper divisors (214227417600).

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

55736553600 is a wasteful number, since it uses less digits than its factorization.

55736553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 45.

The spelling of 55736553600 in words is "fifty-five billion, seven hundred thirty-six million, five hundred fifty-three thousand, six hundred".