53088033024 has 324 divisors, whose sum is σ = 175135600276. Its totient is φ = 15371403264.

The previous prime is 53088033013. The next prime is 53088033029. The reversal of 53088033024 is 42033088035.

It can be written as a sum of positive squares in 6 ways, for example, as 8177946624 + 44910086400 = 90432^2 + 211920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53088033024.

It is not an unprimeable number, because it can be changed into a prime (53088033029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8653062 + ... + 8659194.

Almost surely, 2^53088033024 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 53088033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87567800138).

53088033024 is an abundant number, since it is smaller than the sum of its proper divisors (122047567252).

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

53088033024 is a wasteful number, since it uses less digits than its factorization.

53088033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53088033024 in words is "fifty-three billion, eighty-eight million, thirty-three thousand, twenty-four".