8725516800 has 960 divisors, whose sum is σ = 38871512064. Its totient is φ = 1666252800.

The previous prime is 8725516769. The next prime is 8725516801. The reversal of 8725516800 is 86155278.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×8725516800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8725516801) 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, 38438287 + ... + 38438513.

Almost surely, 2^8725516800 is an apocalyptic number.

8725516800 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 8725516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435756032).

8725516800 is an abundant number, since it is smaller than the sum of its proper divisors (30145995264).

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

8725516800 is a wasteful number, since it uses less digits than its factorization.

8725516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 8725516800 is about 93410.4747873599. The cubic root of 8725516800 is about 2058.7189068628.

It can be divided in two parts, 8725 and 516800, that added together give a palindrome (525525).

The spelling of 8725516800 in words is "eight billion, seven hundred twenty-five million, five hundred sixteen thousand, eight hundred".