53936903946240 has 1404 divisors, whose sum is σ = 225863065707786. Its totient is φ = 12328435187712.

The previous prime is 53936903946239. The next prime is 53936903946251. The reversal of 53936903946240 is 4264930963935.

53936903946240 is a `hidden beast` number, since 5 + 3 + 93 + 69 + 0 + 394 + 62 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48543213551616 + 5393690394624 = 6967296^2 + 2322432^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7705271992317 + ... + 7705271992323.

Almost surely, 2^{53936903946240} 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 53936903946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112931532853893).

53936903946240 is an abundant number, since it is smaller than the sum of its proper divisors (171926161761546).

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

53936903946240 is an frugal number, since it uses more digits than its factorization.

53936903946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 63.

The spelling of 53936903946240 in words is "fifty-three trillion, nine hundred thirty-six billion, nine hundred three million, nine hundred forty-six thousand, two hundred forty".