53300882880 has 672 divisors, whose sum is σ = 216822528000. Its totient is φ = 12011231232.

The previous prime is 53300882879. The next prime is 53300882881. The reversal of 53300882880 is 8828800335.

It is an interprime number because it is at equal distance from previous prime (53300882879) and next prime (53300882881).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53300882881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 78039019 + ... + 78039701.

Almost surely, 2^53300882880 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 53300882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264000).

53300882880 is an abundant number, since it is smaller than the sum of its proper divisors (163521645120).

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

53300882880 is a wasteful number, since it uses less digits than its factorization.

53300882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 53300882880 in words is "fifty-three billion, three hundred million, eight hundred eighty-two thousand, eight hundred eighty".