53134776115200 has 1512 divisors, whose sum is σ = 217764299919348. Its totient is φ = 12308352860160.

The previous prime is 53134776115151. The next prime is 53134776115219. The reversal of 53134776115200 is 251167743135.

53134776115200 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 4 + 7 + 7 + 611 + 5 + 20 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 34756890624 + 53100019224576 = 186432^2 + 7286976^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6924898564 + ... + 6924906236.

Almost surely, 2^{53134776115200} is an apocalyptic number.

53134776115200 is a gapful number since it is divisible by the number (50) 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 53134776115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108882149959674).

53134776115200 is an abundant number, since it is smaller than the sum of its proper divisors (164629523804148).

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

53134776115200 is a wasteful number, since it uses less digits than its factorization.

53134776115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7713 counting only the distinct ones).

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

The spelling of 53134776115200 in words is "fifty-three trillion, one hundred thirty-four billion, seven hundred seventy-six million, one hundred fifteen thousand, two hundred".