8119893600 has 1296 divisors, whose sum is σ = 38746457568. Its totient is φ = 1612431360.

The previous prime is 8119893563. The next prime is 8119893601. The reversal of 8119893600 is 63989118.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8119893601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 477640792 + ... + 477640808.

It is an arithmetic number, because the mean of its divisors is an integer number (29896958).

Almost surely, 2^8119893600 is an apocalyptic number.

8119893600 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 8119893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373228784).

8119893600 is an abundant number, since it is smaller than the sum of its proper divisors (30626563968).

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

8119893600 is a wasteful number, since it uses less digits than its factorization.

8119893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 8119893600 is about 90110.4522239235. The cubic root of 8119893600 is about 2009.9416334132.

The spelling of 8119893600 in words is "eight billion, one hundred nineteen million, eight hundred ninety-three thousand, six hundred".