98760130560 has 1008 divisors, whose sum is σ = 439697067264. Its totient is φ = 19931332608.

The previous prime is 98760130559. The next prime is 98760130561. The reversal of 98760130560 is 6503106789.

It is a happy number.

98760130560 is a `hidden beast` number, since 9 + 8 + 7 + 601 + 30 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98760130559) and next prime (98760130561).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98760130561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4293918709 + ... + 4293918731.

It is an arithmetic number, because the mean of its divisors is an integer number (436207408).

Almost surely, 2^98760130560 is an apocalyptic number.

98760130560 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 98760130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219848533632).

98760130560 is an abundant number, since it is smaller than the sum of its proper divisors (340936936704).

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

98760130560 is an equidigital number, since it uses as much as digits as its factorization.

98760130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 98760130560 in words is "ninety-eight billion, seven hundred sixty million, one hundred thirty thousand, five hundred sixty".