53041013368640 has 448 divisors, whose sum is σ = 153686476431360. Its totient is φ = 17184565002240.

The previous prime is 53041013368639. The next prime is 53041013368663. The reversal of 53041013368640 is 4686331014035.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 53041013368591 and 53041013368600.

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 63 ways as a sum of consecutive naturals, for example, 1554207257 + ... + 1554241383.

Almost surely, 2^{53041013368640} 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 53041013368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76843238215680).

53041013368640 is an abundant number, since it is smaller than the sum of its proper divisors (100645463062720).

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

53041013368640 is a wasteful number, since it uses less digits than its factorization.

53041013368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35558 (or 35548 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 53041013368640 in words is "fifty-three trillion, forty-one billion, thirteen million, three hundred sixty-eight thousand, six hundred forty".