5575959654408 has 384 divisors, whose sum is σ = 18209011766400. Its totient is φ = 1519149772800.

The previous prime is 5575959654407. The next prime is 5575959654451. The reversal of 5575959654408 is 8044569595755.

5575959654408 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 95 + 96 + 5 + 440 + 8 = 666.

It is a Cunningham number, because it is equal to 2361347²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5575959654407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61349638 + ... + 61440458.

It is an arithmetic number, because the mean of its divisors is an integer number (47419301475).

Almost surely, 2^{5575959654408} 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 5575959654408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104505883200).

5575959654408 is an abundant number, since it is smaller than the sum of its proper divisors (12633052111992).

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

5575959654408 is a wasteful number, since it uses less digits than its factorization.

5575959654408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91013 (or 91006 counting only the distinct ones).

The product of its (nonzero) digits is 1360800000, while the sum is 72.

The spelling of 5575959654408 in words is "five trillion, five hundred seventy-five billion, nine hundred fifty-nine million, six hundred fifty-four thousand, four hundred eight".