55159364586240 has 864 divisors, whose sum is σ = 206003007000000. Its totient is φ = 13974517776384.

The previous prime is 55159364586223. The next prime is 55159364586247. The reversal of 55159364586240 is 4268546395155.

55159364586240 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 9 + 3 + 6 + 4 + 586 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (55159364586247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2724043636 + ... + 2724063884.

It is an arithmetic number, because the mean of its divisors is an integer number (238429406250).

Almost surely, 2^{55159364586240} 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 55159364586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103001503500000).

55159364586240 is an abundant number, since it is smaller than the sum of its proper divisors (150843642413760).

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

55159364586240 is a wasteful number, since it uses less digits than its factorization.

55159364586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474 (or 20431 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 55159364586240 in words is "fifty-five trillion, one hundred fifty-nine billion, three hundred sixty-four million, five hundred eighty-six thousand, two hundred forty".