55999567391040 has 2240 divisors, whose sum is σ = 260131789209600. Its totient is φ = 11104169803776.

The previous prime is 55999567390937. The next prime is 55999567391051. The reversal of 55999567391040 is 4019376599955.

55999567391040 is a `hidden beast` number, since 5 + 5 + 9 + 9 + 9 + 567 + 3 + 9 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55999567391040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5691586441 + ... + 5691596279.

It is an arithmetic number, because the mean of its divisors is an integer number (116130263040).

Almost surely, 2^{55999567391040} 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 55999567391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130065894604800).

55999567391040 is an abundant number, since it is smaller than the sum of its proper divisors (204132221818560).

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

55999567391040 is a wasteful number, since it uses less digits than its factorization.

55999567391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 413343000, while the sum is 72.

The spelling of 55999567391040 in words is "fifty-five trillion, nine hundred ninety-nine billion, five hundred sixty-seven million, three hundred ninety-one thousand, forty".