53331576480 has 864 divisors, whose sum is σ = 232505988624. Its totient is φ = 11030003712.

The previous prime is 53331576413. The next prime is 53331576517. The reversal of 53331576480 is 8467513335.

53331576480 is a `hidden beast` number, since 5 + 3 + 3 + 31 + 576 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13262746896 + 40068829584 = 115164^2 + 200172^2 .

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 48615292 + ... + 48616388.

Almost surely, 2^53331576480 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 53331576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116252994312).

53331576480 is an abundant number, since it is smaller than the sum of its proper divisors (179174412144).

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

53331576480 is a wasteful number, since it uses less digits than its factorization.

53331576480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 53331576480 in words is "fifty-three billion, three hundred thirty-one million, five hundred seventy-six thousand, four hundred eighty".