55765874304 has 640 divisors, whose sum is σ = 205232649600. Its totient is φ = 14673125376.

The previous prime is 55765874201. The next prime is 55765874309. The reversal of 55765874304 is 40347856755.

55765874304 is a `hidden beast` number, since 5 + 57 + 6 + 587 + 4 + 3 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55765874309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51020382 + ... + 51021474.

It is an arithmetic number, because the mean of its divisors is an integer number (320676015).

Almost surely, 2^55765874304 is an apocalyptic number.

55765874304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55765874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102616324800).

55765874304 is an abundant number, since it is smaller than the sum of its proper divisors (149466775296).

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

55765874304 is a wasteful number, since it uses less digits than its factorization.

55765874304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 55765874304 in words is "fifty-five billion, seven hundred sixty-five million, eight hundred seventy-four thousand, three hundred four".