53359009801344 has 1280 divisors, whose sum is σ = 184624005646080. Its totient is φ = 15152172761088.

The previous prime is 53359009801267. The next prime is 53359009801373. The reversal of 53359009801344 is 44310890095335.

53359009801344 is a `hidden beast` number, since 5 + 3 + 3 + 590 + 0 + 9 + 8 + 0 + 1 + 3 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25252724832 + ... + 25252726944.

It is an arithmetic number, because the mean of its divisors is an integer number (144237504411).

Almost surely, 2^{53359009801344} is an apocalyptic number.

53359009801344 is a gapful number since it is divisible by the number (54) 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 53359009801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92312002823040).

53359009801344 is an abundant number, since it is smaller than the sum of its proper divisors (131264995844736).

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

53359009801344 is a wasteful number, since it uses less digits than its factorization.

53359009801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

Adding to 53359009801344 its reverse (44310890095335), we get a palindrome (97669899896679).

The spelling of 53359009801344 in words is "fifty-three trillion, three hundred fifty-nine billion, nine million, eight hundred one thousand, three hundred forty-four".