55935019600 has 120 divisors (see below), whose sum is σ = 144467360640. Its totient is φ = 20745308160.

The previous prime is 55935019577. The next prime is 55935019603. The reversal of 55935019600 is 691053955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55935019603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 278904 + ... + 435496.

It is an arithmetic number, because the mean of its divisors is an integer number (1203894672).

Almost surely, 2^55935019600 is an apocalyptic number.

55935019600 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 55935019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72233680320).

55935019600 is an abundant number, since it is smaller than the sum of its proper divisors (88532341040).

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

55935019600 is a wasteful number, since it uses less digits than its factorization.

55935019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156677 (or 156666 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 43.

The spelling of 55935019600 in words is "fifty-five billion, nine hundred thirty-five million, nineteen thousand, six hundred".