98605092096 has 432 divisors, whose sum is σ = 339795083264. Its totient is φ = 27935373312.

The previous prime is 98605092071. The next prime is 98605092097. The reversal of 98605092096 is 69029050689.

98605092096 is a `hidden beast` number, since 9 + 8 + 605 + 0 + 9 + 20 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98605092097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55302021 + ... + 55303803.

Almost surely, 2^98605092096 is an apocalyptic number.

98605092096 is a gapful number since it is divisible by the number (96) 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 98605092096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169897541632).

98605092096 is an abundant number, since it is smaller than the sum of its proper divisors (241189991168).

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

98605092096 is a wasteful number, since it uses less digits than its factorization.

98605092096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 98605092096 in words is "ninety-eight billion, six hundred five million, ninety-two thousand, ninety-six".