98519016960 has 1600 divisors, whose sum is σ = 455172867072. Its totient is φ = 19795083264.

The previous prime is 98519016887. The next prime is 98519016977. The reversal of 98519016960 is 6961091589.

98519016960 is a `hidden beast` number, since 9 + 8 + 519 + 0 + 1 + 69 + 60 = 666.

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 = 98519016897 and 98519016906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 434004367 + ... + 434004593.

Almost surely, 2^98519016960 is an apocalyptic number.

98519016960 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 98519016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227586433536).

98519016960 is an abundant number, since it is smaller than the sum of its proper divisors (356653850112).

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

98519016960 is a wasteful number, since it uses less digits than its factorization.

98519016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 98519016960 in words is "ninety-eight billion, five hundred nineteen million, sixteen thousand, nine hundred sixty".