53801743968 has 384 divisors, whose sum is σ = 187931197440. Its totient is φ = 14650606080.

The previous prime is 53801743967. The next prime is 53801744027. The reversal of 53801743968 is 86934710835.

53801743968 is a `hidden beast` number, since 5 + 3 + 80 + 174 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53801743967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12559555 + ... + 12563837.

It is an arithmetic number, because the mean of its divisors is an integer number (489404160).

Almost surely, 2^53801743968 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 53801743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93965598720).

53801743968 is an abundant number, since it is smaller than the sum of its proper divisors (134129453472).

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

53801743968 is a wasteful number, since it uses less digits than its factorization.

53801743968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 53801743968 in words is "fifty-three billion, eight hundred one million, seven hundred forty-three thousand, nine hundred sixty-eight".