98090818560 has 792 divisors, whose sum is σ = 410271366960. Its totient is φ = 22406823936.

The previous prime is 98090818537. The next prime is 98090818607. The reversal of 98090818560 is 6581809089.

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

It is a junction number, because it is equal to n+sod(n) for n = 98090818497 and 98090818506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60963036 + ... + 60964644.

Almost surely, 2^98090818560 is an apocalyptic number.

98090818560 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 98090818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205135683480).

98090818560 is an abundant number, since it is smaller than the sum of its proper divisors (312180548400).

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

98090818560 is a wasteful number, since it uses less digits than its factorization.

98090818560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 98090818560 in words is "ninety-eight billion, ninety million, eight hundred eighteen thousand, five hundred sixty".