5540255012100 has 144 divisors (see below), whose sum is σ = 16728189327360. Its totient is φ = 1413045110400.

The previous prime is 5540255012059. The next prime is 5540255012143. The reversal of 5540255012100 is 12105520455.

It is a super-2 number, since 2×5540255012100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102306831 + ... + 102360969.

It is an arithmetic number, because the mean of its divisors is an integer number (116167981440).

Almost surely, 2^{5540255012100} is an apocalyptic number.

5540255012100 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 5540255012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364094663680).

5540255012100 is an abundant number, since it is smaller than the sum of its proper divisors (11187934315260).

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

5540255012100 is a wasteful number, since it uses less digits than its factorization.

5540255012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69010 (or 69003 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 5540255012100 in words is "five trillion, five hundred forty billion, two hundred fifty-five million, twelve thousand, one hundred".