55612393200 has 540 divisors, whose sum is σ = 241778228328. Its totient is φ = 11733120000.

The previous prime is 55612393169. The next prime is 55612393229. The reversal of 55612393200 is 239321655.

55612393200 is a `hidden beast` number, since 5 + 5 + 61 + 2 + 393 + 200 = 666.

55612393200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2281075 + ... + 2305325.

Almost surely, 2^55612393200 is an apocalyptic number.

55612393200 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 55612393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120889114164).

55612393200 is an abundant number, since it is smaller than the sum of its proper divisors (186165835128).

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

55612393200 is a wasteful number, since it uses less digits than its factorization.

55612393200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24302 (or 24281 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 55612393200 in words is "fifty-five billion, six hundred twelve million, three hundred ninety-three thousand, two hundred".