55562745600 has 648 divisors, whose sum is σ = 212176888560. Its totient is φ = 13823508480.

The previous prime is 55562745577. The next prime is 55562745611. The reversal of 55562745600 is 654726555.

55562745600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55562745600² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175276642 + ... + 175276958.

It is an arithmetic number, because the mean of its divisors is an integer number (327433470).

Almost surely, 2^55562745600 is an apocalyptic number.

55562745600 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 55562745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106088444280).

55562745600 is an abundant number, since it is smaller than the sum of its proper divisors (156614142960).

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

55562745600 is a wasteful number, since it uses less digits than its factorization.

55562745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 55562745600 in words is "fifty-five billion, five hundred sixty-two million, seven hundred forty-five thousand, six hundred".