53056110076704 has 1536 divisors, whose sum is σ = 188573349888000. Its totient is φ = 14200360501248.

The previous prime is 53056110076703. The next prime is 53056110076721. The reversal of 53056110076704 is 40767001165035.

53056110076704 is a `hidden beast` number, since 5 + 3 + 0 + 561 + 10 + 0 + 7 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53056110076704.

It is not an unprimeable number, because it can be changed into a prime (53056110076703) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147788607277 + ... + 147788607635.

It is an arithmetic number, because the mean of its divisors is an integer number (122769108000).

Almost surely, 2^{53056110076704} is an apocalyptic number.

53056110076704 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 53056110076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94286674944000).

53056110076704 is an abundant number, since it is smaller than the sum of its proper divisors (135517239811296).

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

53056110076704 is a wasteful number, since it uses less digits than its factorization.

53056110076704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 53056110076704 in words is "fifty-three trillion, fifty-six billion, one hundred ten million, seventy-six thousand, seven hundred four".