55328071680 has 672 divisors, whose sum is σ = 229050067680. Its totient is φ = 12634030080.

The previous prime is 55328071679. The next prime is 55328071723. The reversal of 55328071680 is 8617082355.

55328071680 is a `hidden beast` number, since 553 + 2 + 8 + 0 + 7 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×55328071680² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 54189570 + ... + 54190590.

It is an arithmetic number, because the mean of its divisors is an integer number (340848315).

Almost surely, 2^55328071680 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 55328071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114525033840).

55328071680 is an abundant number, since it is smaller than the sum of its proper divisors (173721996000).

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

55328071680 is a wasteful number, since it uses less digits than its factorization.

55328071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 55328071680 in words is "fifty-five billion, three hundred twenty-eight million, seventy-one thousand, six hundred eighty".