53948128913280 has 2688 divisors, whose sum is σ = 240262640225280. Its totient is φ = 11503730294784.

The previous prime is 53948128913269. The next prime is 53948128913299. The reversal of 53948128913280 is 8231982184935.

53948128913280 is a `hidden beast` number, since 5 + 39 + 48 + 1 + 289 + 1 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×53948128913280² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 49357848414 + ... + 49357849506.

Almost surely, 2^{53948128913280} 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 53948128913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120131320112640).

53948128913280 is an abundant number, since it is smaller than the sum of its proper divisors (186314511312000).

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

53948128913280 is a wasteful number, since it uses less digits than its factorization.

53948128913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 53948128913280 in words is "fifty-three trillion, nine hundred forty-eight billion, one hundred twenty-eight million, nine hundred thirteen thousand, two hundred eighty".