98736537600 has 720 divisors, whose sum is σ = 378627849600. Its totient is φ = 25480396800.

The previous prime is 98736537577. The next prime is 98736537623. The reversal of 98736537600 is 673563789.

It is an interprime number because it is at equal distance from previous prime (98736537577) and next prime (98736537623).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3185049585 + ... + 3185049615.

Almost surely, 2^98736537600 is an apocalyptic number.

98736537600 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 98736537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189313924800).

98736537600 is an abundant number, since it is smaller than the sum of its proper divisors (279891312000).

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

98736537600 is an frugal number, since it uses more digits than its factorization.

98736537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 98736537600 in words is "ninety-eight billion, seven hundred thirty-six million, five hundred thirty-seven thousand, six hundred".