98850782520 has 384 divisors, whose sum is σ = 381152378880. Its totient is φ = 21741696000.

The previous prime is 98850782483. The next prime is 98850782539. The reversal of 98850782520 is 2528705889.

98850782520 is a `hidden beast` number, since 9 + 8 + 8 + 507 + 82 + 52 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14136225 + ... + 14143215.

It is an arithmetic number, because the mean of its divisors is an integer number (992584320).

Almost surely, 2^98850782520 is an apocalyptic number.

98850782520 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 98850782520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190576189440).

98850782520 is an abundant number, since it is smaller than the sum of its proper divisors (282301596360).

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

98850782520 is a wasteful number, since it uses less digits than its factorization.

98850782520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 98850782520 in words is "ninety-eight billion, eight hundred fifty million, seven hundred eighty-two thousand, five hundred twenty".