55572633600 has 576 divisors, whose sum is σ = 207076746240. Its totient is φ = 13025280000.

The previous prime is 55572633559. The next prime is 55572633617. The reversal of 55572633600 is 633627555.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52377070 + ... + 52378130.

It is an arithmetic number, because the mean of its divisors is an integer number (359508240).

Almost surely, 2^55572633600 is an apocalyptic number.

55572633600 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 55572633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103538373120).

55572633600 is an abundant number, since it is smaller than the sum of its proper divisors (151504112640).

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

55572633600 is a wasteful number, since it uses less digits than its factorization.

55572633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 42.

The spelling of 55572633600 in words is "fifty-five billion, five hundred seventy-two million, six hundred thirty-three thousand, six hundred".