53082267840 has 280 divisors, whose sum is σ = 215798412192. Its totient is φ = 12133048320.

The previous prime is 53082267809. The next prime is 53082267857. The reversal of 53082267840 is 4876228035.

53082267840 is a `hidden beast` number, since 5 + 308 + 2 + 267 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35160 + ... + 327720.

Almost surely, 2^53082267840 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 53082267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107899206096).

53082267840 is an abundant number, since it is smaller than the sum of its proper divisors (162716144352).

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

53082267840 is a wasteful number, since it uses less digits than its factorization.

53082267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292597 (or 292578 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 53082267840 in words is "fifty-three billion, eighty-two million, two hundred sixty-seven thousand, eight hundred forty".