5282167590 has 192 divisors, whose sum is σ = 16368168960. Its totient is φ = 1156296960.

The previous prime is 5282167547. The next prime is 5282167613. The reversal of 5282167590 is 957612825.

5282167590 is a `hidden beast` number, since 52 + 8 + 2 + 1 + 6 + 7 + 590 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2392267 + ... + 2394473.

It is an arithmetic number, because the mean of its divisors is an integer number (85250880).

Almost surely, 2^5282167590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5282167590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184084480).

5282167590 is an abundant number, since it is smaller than the sum of its proper divisors (11086001370).

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

5282167590 is a wasteful number, since it uses less digits than its factorization.

5282167590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5282167590 is about 72678.5222056695. The cubic root of 5282167590 is about 1741.5557924072. Note that the first 3 decimals are identical.

The spelling of 5282167590 in words is "five billion, two hundred eighty-two million, one hundred sixty-seven thousand, five hundred ninety".