98126511600 has 480 divisors, whose sum is σ = 345924081664. Its totient is φ = 23630745600.

The previous prime is 98126511583. The next prime is 98126511607. The reversal of 98126511600 is 611562189.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98126511607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233079390 + ... + 233079810.

Almost surely, 2^98126511600 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 98126511600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172962040832).

98126511600 is an abundant number, since it is smaller than the sum of its proper divisors (247797570064).

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

98126511600 is a wasteful number, since it uses less digits than its factorization.

98126511600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 98126511600 in words is "ninety-eight billion, one hundred twenty-six million, five hundred eleven thousand, six hundred".