8260211520 has 896 divisors, whose sum is σ = 34191244800. Its totient is φ = 1881169920.

The previous prime is 8260211503. The next prime is 8260211527. The reversal of 8260211520 is 251120628.

It is a happy number.

8260211520 is a `hidden beast` number, since 8 + 2 + 602 + 1 + 1 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8260211527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223248942 + ... + 223248978.

Almost surely, 2^8260211520 is an apocalyptic number.

8260211520 is a gapful number since it is divisible by the number (80) 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 8260211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095622400).

8260211520 is an abundant number, since it is smaller than the sum of its proper divisors (25931033280).

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

8260211520 is a wasteful number, since it uses less digits than its factorization.

8260211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8260211520 is about 90885.7058067989. The cubic root of 8260211520 is about 2021.4533474565.

It can be divided in two parts, 826021 and 1520, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 8260211520 in words is "eight billion, two hundred sixty million, two hundred eleven thousand, five hundred twenty".