98261679600 has 1440 divisors, whose sum is σ = 437514854400. Its totient is φ = 20321280000.

The previous prime is 98261679599. The next prime is 98261679641. The reversal of 98261679600 is 697616289.

98261679600 is a `hidden beast` number, since 9 + 8 + 26 + 1 + 6 + 7 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 650739525 + ... + 650739675.

It is an arithmetic number, because the mean of its divisors is an integer number (303829760).

Almost surely, 2^98261679600 is an apocalyptic number.

98261679600 is a gapful number since it is divisible by the number (90) 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 98261679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218757427200).

98261679600 is an abundant number, since it is smaller than the sum of its proper divisors (339253174800).

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

98261679600 is a wasteful number, since it uses less digits than its factorization.

98261679600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 98261679600 in words is "ninety-eight billion, two hundred sixty-one million, six hundred seventy-nine thousand, six hundred".