55809492481600 has 672 divisors, whose sum is σ = 162418794531840. Its totient is φ = 18607767552000.

The previous prime is 55809492481579. The next prime is 55809492481619. The reversal of 55809492481600 is 618429490855.

It is a super-2 number, since 2×55809492481600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26412442144 + ... + 26412444256.

It is an arithmetic number, because the mean of its divisors is an integer number (241694634720).

Almost surely, 2^{55809492481600} is an apocalyptic number.

55809492481600 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 55809492481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209397265920).

55809492481600 is an abundant number, since it is smaller than the sum of its proper divisors (106609302050240).

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

55809492481600 is a wasteful number, since it uses less digits than its factorization.

55809492481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 55809492481600 in words is "fifty-five trillion, eight hundred nine billion, four hundred ninety-two million, four hundred eighty-one thousand, six hundred".