55095535249800 has 192 divisors, whose sum is σ = 171214779648000. Its totient is φ = 14656144078080.

The previous prime is 55095535249771. The next prime is 55095535249847. The reversal of 55095535249800 is 894253559055.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1907791761 + ... + 1907820639.

It is an arithmetic number, because the mean of its divisors is an integer number (891743644000).

Almost surely, 2^{55095535249800} is an apocalyptic number.

55095535249800 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 55095535249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85607389824000).

55095535249800 is an abundant number, since it is smaller than the sum of its proper divisors (116119244398200).

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

55095535249800 is a wasteful number, since it uses less digits than its factorization.

55095535249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36580 (or 36571 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 60.

The spelling of 55095535249800 in words is "fifty-five trillion, ninety-five billion, five hundred thirty-five million, two hundred forty-nine thousand, eight hundred".