8525076560 has 480 divisors, whose sum is σ = 28232478720. Its totient is φ = 2318284800.

The previous prime is 8525076551. The next prime is 8525076563. The reversal of 8525076560 is 656705258.

It is a super-2 number, since 2×8525076560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8525076563) 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, 19779545 + ... + 19779975.

It is an arithmetic number, because the mean of its divisors is an integer number (58817664).

Almost surely, 2^8525076560 is an apocalyptic number.

8525076560 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 8525076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116239360).

8525076560 is an abundant number, since it is smaller than the sum of its proper divisors (19707402160).

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

8525076560 is a wasteful number, since it uses less digits than its factorization.

8525076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The square root of 8525076560 is about 92331.3411578105. The cubic root of 8525076560 is about 2042.8325191837.

The spelling of 8525076560 in words is "eight billion, five hundred twenty-five million, seventy-six thousand, five hundred sixty".