53149749948288 has 1024 divisors, whose sum is σ = 188801040384000. Its totient is φ = 14581418342400.

The previous prime is 53149749948203. The next prime is 53149749948299. The reversal of 53149749948288 is 88284994794135.

53149749948288 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 9 + 7 + 499 + 48 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7957737333 + ... + 7957744011.

It is an arithmetic number, because the mean of its divisors is an integer number (184376016000).

Almost surely, 2^{53149749948288} 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 53149749948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94400520192000).

53149749948288 is an abundant number, since it is smaller than the sum of its proper divisors (135651290435712).

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

53149749948288 is an equidigital number, since it uses as much as digits as its factorization.

53149749948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6853 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 53149749948288 in words is "fifty-three trillion, one hundred forty-nine billion, seven hundred forty-nine million, nine hundred forty-eight thousand, two hundred eighty-eight".