8995257600 has 864 divisors, whose sum is σ = 37373607936. Its totient is φ = 1857945600.

The previous prime is 8995257541. The next prime is 8995257641. The reversal of 8995257600 is 67525998.

It is a happy number.

It is a super-4 number, since 4×8995257600⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70828737 + ... + 70828863.

Almost surely, 2^8995257600 is an apocalyptic number.

8995257600 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 8995257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686803968).

8995257600 is an abundant number, since it is smaller than the sum of its proper divisors (28378350336).

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

8995257600 is a wasteful number, since it uses less digits than its factorization.

8995257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 8995257600 is about 94843.3318689300. The cubic root of 8995257600 is about 2079.7184036930.

The spelling of 8995257600 in words is "eight billion, nine hundred ninety-five million, two hundred fifty-seven thousand, six hundred".