5282701564140 has 1152 divisors, whose sum is σ = 22054029484032. Its totient is φ = 988042199040.

The previous prime is 5282701564117. The next prime is 5282701564141. The reversal of 5282701564140 is 414651072825.

5282701564140 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 70 + 1 + 564 + 14 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5282701564141) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2650626984 + ... + 2650628976.

It is an arithmetic number, because the mean of its divisors is an integer number (19144122816).

Almost surely, 2^{5282701564140} 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 5282701564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027014742016).

5282701564140 is an abundant number, since it is smaller than the sum of its proper divisors (16771327919892).

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

5282701564140 is a wasteful number, since it uses less digits than its factorization.

5282701564140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 5282701564140 in words is "five trillion, two hundred eighty-two billion, seven hundred one million, five hundred sixty-four thousand, one hundred forty".