98973705600 has 2688 divisors, whose sum is σ = 497673504000. Its totient is φ = 18811699200.

The previous prime is 98973705599. The next prime is 98973705631. The reversal of 98973705600 is 650737989.

98973705600 is a `hidden beast` number, since 9 + 8 + 9 + 7 + 3 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3412886386 + ... + 3412886414.

Almost surely, 2^98973705600 is an apocalyptic number.

98973705600 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 98973705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248836752000).

98973705600 is an abundant number, since it is smaller than the sum of its proper divisors (398699798400).

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

98973705600 is a wasteful number, since it uses less digits than its factorization.

98973705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 98973705600 in words is "ninety-eight billion, nine hundred seventy-three million, seven hundred five thousand, six hundred".