4526565120 has 972 divisors, whose sum is σ = 20637994104. Its totient is φ = 940584960.

The previous prime is 4526565119. The next prime is 4526565133. The reversal of 4526565120 is 215656254.

4526565120 is a `hidden beast` number, since 4 + 526 + 5 + 6 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×4526565120² = 40979583571201228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 411505915 + ... + 411505925.

Almost surely, 2^4526565120 is an apocalyptic number.

4526565120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4526565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318997052).

4526565120 is an abundant number, since it is smaller than the sum of its proper divisors (16111428984).

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

4526565120 is an frugal number, since it uses more digits than its factorization.

4526565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4526565120 is about 67279.7526749319. The cubic root of 4526565120 is about 1654.2059967032.

The spelling of 4526565120 in words is "four billion, five hundred twenty-six million, five hundred sixty-five thousand, one hundred twenty".