55758585600 has 1512 divisors, whose sum is σ = 236858433840. Its totient is φ = 12899450880.

The previous prime is 55758585577. The next prime is 55758585601. The reversal of 55758585600 is 658585755.

It is a happy number.

55758585600 is a `hidden beast` number, since 5 + 5 + 7 + 58 + 585 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×55758585600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55758585601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1506988782 + ... + 1506988818.

Almost surely, 2^55758585600 is an apocalyptic number.

55758585600 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 55758585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118429216920).

55758585600 is an abundant number, since it is smaller than the sum of its proper divisors (181099848240).

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

55758585600 is a wasteful number, since it uses less digits than its factorization.

55758585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 54.

The spelling of 55758585600 in words is "fifty-five billion, seven hundred fifty-eight million, five hundred eighty-five thousand, six hundred".