8253011760 has 640 divisors, whose sum is σ = 33220730880. Its totient is φ = 1649590272.

The previous prime is 8253011749. The next prime is 8253011761. The reversal of 8253011760 is 671103528.

It is a super-2 number, since 2×8253011760² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8253011761) 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, 36356767 + ... + 36356993.

It is an arithmetic number, because the mean of its divisors is an integer number (51907392).

Almost surely, 2^8253011760 is an apocalyptic number.

8253011760 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 8253011760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16610365440).

8253011760 is an abundant number, since it is smaller than the sum of its proper divisors (24967719120).

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

8253011760 is a wasteful number, since it uses less digits than its factorization.

8253011760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 8253011760 is about 90846.0883032396. The cubic root of 8253011760 is about 2020.8658641345.

The spelling of 8253011760 in words is "eight billion, two hundred fifty-three million, eleven thousand, seven hundred sixty".