55005605505100 has 72 divisors (see below), whose sum is σ = 121056777870336. Its totient is φ = 21689939880000.

The previous prime is 55005605505047. The next prime is 55005605505101. The reversal of 55005605505100 is 150550650055.

It is a super-4 number, since 4×55005605505100⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 55005605505100.

It is not an unprimeable number, because it can be changed into a prime (55005605505101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64120005 + ... + 64972195.

It is an arithmetic number, because the mean of its divisors is an integer number (1681344137088).

Almost surely, 2^{55005605505100} is an apocalyptic number.

55005605505100 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 55005605505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60528388935168).

55005605505100 is an abundant number, since it is smaller than the sum of its proper divisors (66051172365236).

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

55005605505100 is a wasteful number, since it uses less digits than its factorization.

55005605505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861367 (or 861360 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 37.

The spelling of 55005605505100 in words is "fifty-five trillion, five billion, six hundred five million, five hundred five thousand, one hundred".