53301881984 has 128 divisors (see below), whose sum is σ = 117109223280. Its totient is φ = 24014684160.

The previous prime is 53301881977. The next prime is 53301882041. The reversal of 53301881984 is 48918810335.

It can be written as a sum of positive squares in 8 ways, for example, as 1736555584 + 51565326400 = 41672^2 + 227080^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13904132 + ... + 13907964.

Almost surely, 2^53301881984 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 53301881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58554611640).

53301881984 is an abundant number, since it is smaller than the sum of its proper divisors (63807341296).

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

53301881984 is a wasteful number, since it uses less digits than its factorization.

53301881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 53301881984 in words is "fifty-three billion, three hundred one million, eight hundred eighty-one thousand, nine hundred eighty-four".