53381007360 has 288 divisors, whose sum is σ = 185609151000. Its totient is φ = 14188806144.

The previous prime is 53381007347. The next prime is 53381007389. The reversal of 53381007360 is 6370018335.

It can be written as a sum of positive squares in 4 ways, for example, as 28320850944 + 25060156416 = 168288^2 + 158304^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35849496 + ... + 35850984.

Almost surely, 2^53381007360 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 53381007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92804575500).

53381007360 is an abundant number, since it is smaller than the sum of its proper divisors (132228143640).

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

53381007360 is a wasteful number, since it uses less digits than its factorization.

53381007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 53381007360 in words is "fifty-three billion, three hundred eighty-one million, seven thousand, three hundred sixty".