5480010185040 has 240 divisors, whose sum is σ = 18738056937600. Its totient is φ = 1434846071808.

The previous prime is 5480010185009. The next prime is 5480010185047. The reversal of 5480010185040 is 405810100845.

5480010185040 is a `hidden beast` number, since 5 + 48 + 0 + 0 + 101 + 8 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5480010184986 and 5480010185004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5480010185047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35563842 + ... + 35717598.

It is an arithmetic number, because the mean of its divisors is an integer number (78075237240).

Almost surely, 2^{5480010185040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5480010185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369028468800).

5480010185040 is an abundant number, since it is smaller than the sum of its proper divisors (13258046752560).

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

5480010185040 is a wasteful number, since it uses less digits than its factorization.

5480010185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154674 (or 154665 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 5480010185040 its reverse (405810100845), we get a palindrome (5885820285885).

The spelling of 5480010185040 in words is "five trillion, four hundred eighty billion, ten million, one hundred eighty-five thousand, forty".