55986094080 has 640 divisors, whose sum is σ = 229512096000. Its totient is φ = 12683575296.

The previous prime is 55986094057. The next prime is 55986094111. The reversal of 55986094080 is 8049068955.

It is a happy number.

55986094080 is a `hidden beast` number, since 5 + 598 + 6 + 0 + 9 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×55986094080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495452104 + ... + 495452216.

It is an arithmetic number, because the mean of its divisors is an integer number (358612650).

Almost surely, 2^55986094080 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 55986094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114756048000).

55986094080 is an abundant number, since it is smaller than the sum of its proper divisors (173526001920).

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

55986094080 is an frugal number, since it uses more digits than its factorization.

55986094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

It can be divided in two parts, 5598609 and 4080, that added together give a square (5602689 = 2367²).

The spelling of 55986094080 in words is "fifty-five billion, nine hundred eighty-six million, ninety-four thousand, eighty".