98935620480 has 512 divisors, whose sum is σ = 381594240000. Its totient is φ = 24130068480.

The previous prime is 98935620473. The next prime is 98935620517. The reversal of 98935620480 is 8402653989.

98935620480 is a `hidden beast` number, since 9 + 8 + 9 + 3 + 5 + 620 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9516085 + ... + 9526475.

It is an arithmetic number, because the mean of its divisors is an integer number (745301250).

Almost surely, 2^98935620480 is an apocalyptic number.

98935620480 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 98935620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190797120000).

98935620480 is an abundant number, since it is smaller than the sum of its proper divisors (282658619520).

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

98935620480 is a wasteful number, since it uses less digits than its factorization.

98935620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 98935620480 in words is "ninety-eight billion, nine hundred thirty-five million, six hundred twenty thousand, four hundred eighty".