5506001060100 has 288 divisors, whose sum is σ = 17174583006336. Its totient is φ = 1356897484800.

The previous prime is 5506001060099. The next prime is 5506001060141. The reversal of 5506001060100 is 10601006055.

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, 106926360 + ... + 106977840.

It is an arithmetic number, because the mean of its divisors is an integer number (59633968772).

Almost surely, 2^{5506001060100} is an apocalyptic number.

5506001060100 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 5506001060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587291503168).

5506001060100 is an abundant number, since it is smaller than the sum of its proper divisors (11668581946236).

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

5506001060100 is a wasteful number, since it uses less digits than its factorization.

5506001060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51895 (or 51888 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 5506001060100 its reverse (10601006055), we get a palindrome (5516602066155).

The spelling of 5506001060100 in words is "five trillion, five hundred six billion, one million, sixty thousand, one hundred".