8010100560 has 480 divisors, whose sum is σ = 33180019200. Its totient is φ = 1576350720.

The previous prime is 8010100547. The next prime is 8010100561. The reversal of 8010100560 is 650010108.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010100561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2456211 + ... + 2459469.

It is an arithmetic number, because the mean of its divisors is an integer number (69125040).

Almost surely, 2^8010100560 is an apocalyptic number.

8010100560 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 8010100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590009600).

8010100560 is an abundant number, since it is smaller than the sum of its proper divisors (25169918640).

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

8010100560 is a wasteful number, since it uses less digits than its factorization.

8010100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 8010100560 is about 89499.1651357710. The cubic root of 8010100560 is about 2000.8413593409.

Adding to 8010100560 its reverse (650010108), we get a palindrome (8660110668).

The spelling of 8010100560 in words is "eight billion, ten million, one hundred thousand, five hundred sixty".