98611387898100 has 576 divisors, whose sum is σ = 361836121006080. Its totient is φ = 20138432601600.

The previous prime is 98611387898053. The next prime is 98611387898123. The reversal of 98611387898100 is 189878311689.

It is a super-2 number, since 2×98611387898100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8617610979 + ... + 8617622421.

It is an arithmetic number, because the mean of its divisors is an integer number (628187710080).

Almost surely, 2^{98611387898100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98611387898100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180918060503040).

98611387898100 is an abundant number, since it is smaller than the sum of its proper divisors (263224733107980).

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

98611387898100 is a wasteful number, since it uses less digits than its factorization.

98611387898100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17860 (or 17853 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 69.

The spelling of 98611387898100 in words is "ninety-eight trillion, six hundred eleven billion, three hundred eighty-seven million, eight hundred ninety-eight thousand, one hundred".