55711593600 has 576 divisors, whose sum is σ = 207479309760. Its totient is φ = 13108592640.

The previous prime is 55711593583. The next prime is 55711593649. The reversal of 55711593600 is 639511755.

It is a super-2 number, since 2×55711593600² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 37314454 + ... + 37315946.

It is an arithmetic number, because the mean of its divisors is an integer number (360207135).

Almost surely, 2^55711593600 is an apocalyptic number.

55711593600 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 55711593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103739654880).

55711593600 is an abundant number, since it is smaller than the sum of its proper divisors (151767716160).

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

55711593600 is a wasteful number, since it uses less digits than its factorization.

55711593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The spelling of 55711593600 in words is "fifty-five billion, seven hundred eleven million, five hundred ninety-three thousand, six hundred".