8098912893600 has 1152 divisors, whose sum is σ = 32185315008000. Its totient is φ = 1956354785280.

The previous prime is 8098912893521. The next prime is 8098912893601. The reversal of 8098912893600 is 63982198908.

8098912893600 is a `hidden beast` number, since 8 + 0 + 9 + 8 + 9 + 12 + 8 + 9 + 3 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (8098912893601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3972001381 + ... + 3972003419.

It is an arithmetic number, because the mean of its divisors is an integer number (27938641500).

Almost surely, 2^{8098912893600} is an apocalyptic number.

8098912893600 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 8098912893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092657504000).

8098912893600 is an abundant number, since it is smaller than the sum of its proper divisors (24086402114400).

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

8098912893600 is a wasteful number, since it uses less digits than its factorization.

8098912893600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 8098912893600 in words is "eight trillion, ninety-eight billion, nine hundred twelve million, eight hundred ninety-three thousand, six hundred".