55356346080 has 960 divisors, whose sum is σ = 235920263040. Its totient is φ = 11955879936.

The previous prime is 55356346079. The next prime is 55356346139. The reversal of 55356346080 is 8064365355.

55356346080 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 6 + 34 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139436442 + ... + 139436838.

It is an arithmetic number, because the mean of its divisors is an integer number (245750274).

Almost surely, 2^55356346080 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 55356346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117960131520).

55356346080 is an abundant number, since it is smaller than the sum of its proper divisors (180563916960).

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

55356346080 is a wasteful number, since it uses less digits than its factorization.

55356346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 55356346080 in words is "fifty-five billion, three hundred fifty-six million, three hundred forty-six thousand, eighty".